Borrow it
 Architecture Library
 Bizzell Memorial Library
 Boorstin Collection
 Chinese Literature Translation Archive
 Engineering Library
 Fine Arts Library
 Harry W. Bass Business History Collection
 History of Science Collections
 John and Mary Nichols Rare Books and Special Collections
 Library Service Center
 Price College Digital Library
 Western History Collections
The Resource Beauville surfaces and groups, Ingrid Bauer, Shelly Garion, Alina Vdovina, editors
Beauville surfaces and groups, Ingrid Bauer, Shelly Garion, Alina Vdovina, editors
Resource Information
The item Beauville surfaces and groups, Ingrid Bauer, Shelly Garion, Alina Vdovina, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Beauville surfaces and groups, Ingrid Bauer, Shelly Garion, Alina Vdovina, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 This collection of surveys and research articles explores a fascinating class of varieties: Beauville surfaces. It is the first time that these objects are discussed from the points of view of algebraic geometry as well as group theory. The book also includes various open problems and conjectures related to these surfaces. Beauville surfaces are a class of rigid regular surfaces of general type, which can be described in a purely algebraic combinatoric way. They play an important role in different fields of mathematics like algebraic geometry, group theory and number theory. The notion of Beauville surface was introduced by Fabrizio Catanese in 2000 and, after the first systematic study of these surfaces by Ingrid Bauer, Fabrizio Catanese and Fritz Grunewald, there has been an increasing interest in the subject. These proceedings reflect the topics of the lectures presented during the workshop 'Beauville Surfaces and Groups 2012', held at Newcastle University, UK in June 2012. This conference brought together, for the first time, experts of different fields of mathematics interested in Beauville surfaces
 Language
 eng
 Extent
 1 online resource
 Contents

 Introduction; The Fundamental Group and Torsion Group of Beauville Surfaces; 1 Introduction; 2 ProductQuotient Surfaces; 3 The Fundamental Group; 4 Some Applications; References; Regular Algebraic Surfaces, Ramification Structures and Projective Planes; 1 Introduction; 2 Ramification Structures and Associated Surfaces; 2.1 Group Theoretical Structures; 2.2 From Ramification Structures to Algebraic Surfaces; 3 Groups with Special Presentations; 3.1 Ramification Structures for the Group in [15, Example 6.3]; 3.2 Ramification Structures for the Groups in [11, Example 3.3]
 3.3 Ramification Structures for the Group in [15, Example 6.4]3.4 Ramification Structures for the Groups of Theorem 3.1 with qge4; 3.5 Ramification Structures for the Group in [18, Example 2]; References; A Survey of Beauville pGroups; 1 Introduction; 2 Definitions; 2.1 Beauville Structures; 2.2 pGroups; 3 Beauville Groups in O'Brien Trees; 3.1 An Example; 3.2 Infinite Paths Through the O'Brien Trees; 4 Beauville Groups of Small Order; References; Strongly Real Beauville Groups; 1 Introduction; 2 The Finite Simple Groups; 3 Characteristically Simple Groups
 4 The Symmetric and Alternating Groups5 Almost Simple Groups; 6 Nilpotent Groups; References; Beauville Surfaces and Probabilistic Group Theory; 1 Beauville Surfaces and Beauville Structures; 2 Beauville Surfaces and Finite Simple Groups; 3 Hyperbolic Triangle Groups and Their Finite Quotients; 4 Beauville Structures for the Group `39`42`""613A``45`47`""603APSL2(q); 4.1 Sketch of the Proof of Theorem 10; 4.2 Proof of Theorem 7; 5 Beauville Structures for Finite Simple Groups; 5.1 Choosing Disjoint Conjugacy Classes; 5.2 Frobenius Formula and Witten's Zeta Function
 4 Beauville Structures in Cartesian Powers5 The Groups L2(q); 6 Counting Triples; 7 The Suzuki Groups; 8 The Small Ree Groups; 9 The Sporadic Simple Groups; 9.1 The Mathieu Groups; 9.2 Other Small Sporadic Simple Groups; 9.3 The Larger Sporadic Simple Groups; 10 The Groups L3(q) and U3(q); 10.1 L3(q); 10.2 U3(q); References; Remarks on Lifting Beauville Structures of Quasisimple Groups ; 1 Introduction; 2 Frattini Covers of Beauville Groups; 3 Semidirect Products with Beauville Structures; 4 Questions; References
 Isbn
 9783319138626
 Label
 Beauville surfaces and groups
 Title
 Beauville surfaces and groups
 Statement of responsibility
 Ingrid Bauer, Shelly Garion, Alina Vdovina, editors
 Subject

 Mathematics
 Group Theory and Generalizations
 Conference papers and proceedings
 Geometry, Algebraic
 Surfaces, Algebraic
 Algebraic geometry
 Surfaces, Algebraic  Congresses
 Algebraic Geometry
 Electronic books
 Geometry, Algebraic  Congresses
 Number Theory
 Group theory  Congresses
 Groups & group theory
 MATHEMATICS  Geometry  General
 Number theory
 Group theory
 Language
 eng
 Summary
 This collection of surveys and research articles explores a fascinating class of varieties: Beauville surfaces. It is the first time that these objects are discussed from the points of view of algebraic geometry as well as group theory. The book also includes various open problems and conjectures related to these surfaces. Beauville surfaces are a class of rigid regular surfaces of general type, which can be described in a purely algebraic combinatoric way. They play an important role in different fields of mathematics like algebraic geometry, group theory and number theory. The notion of Beauville surface was introduced by Fabrizio Catanese in 2000 and, after the first systematic study of these surfaces by Ingrid Bauer, Fabrizio Catanese and Fritz Grunewald, there has been an increasing interest in the subject. These proceedings reflect the topics of the lectures presented during the workshop 'Beauville Surfaces and Groups 2012', held at Newcastle University, UK in June 2012. This conference brought together, for the first time, experts of different fields of mathematics interested in Beauville surfaces
 Cataloging source
 N$T
 Dewey number
 516.3/52
 Illustrations
 illustrations
 Index
 no index present
 LC call number
 QA571
 LC item number
 .B43 2015eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate

 1967
 2012
 http://library.link/vocab/relatedWorkOrContributorName

 Bauer, Ingrid C.
 Garion, Shelly
 Vdovina, Alina
 Beauville Surfaces and Groups
 Series statement
 Springer Proceedings in Mathematics and Statistics
 Series volume
 volume 123
 http://library.link/vocab/subjectName

 Surfaces, Algebraic
 Geometry, Algebraic
 Group theory
 MATHEMATICS
 Geometry, Algebraic
 Group theory
 Surfaces, Algebraic
 Mathematics
 Algebraic Geometry
 Group Theory and Generalizations
 Number Theory
 Algebraic geometry
 Groups & group theory
 Number theory
 Label
 Beauville surfaces and groups, Ingrid Bauer, Shelly Garion, Alina Vdovina, editors
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents

 Introduction; The Fundamental Group and Torsion Group of Beauville Surfaces; 1 Introduction; 2 ProductQuotient Surfaces; 3 The Fundamental Group; 4 Some Applications; References; Regular Algebraic Surfaces, Ramification Structures and Projective Planes; 1 Introduction; 2 Ramification Structures and Associated Surfaces; 2.1 Group Theoretical Structures; 2.2 From Ramification Structures to Algebraic Surfaces; 3 Groups with Special Presentations; 3.1 Ramification Structures for the Group in [15, Example 6.3]; 3.2 Ramification Structures for the Groups in [11, Example 3.3]
 3.3 Ramification Structures for the Group in [15, Example 6.4]3.4 Ramification Structures for the Groups of Theorem 3.1 with qge4; 3.5 Ramification Structures for the Group in [18, Example 2]; References; A Survey of Beauville pGroups; 1 Introduction; 2 Definitions; 2.1 Beauville Structures; 2.2 pGroups; 3 Beauville Groups in O'Brien Trees; 3.1 An Example; 3.2 Infinite Paths Through the O'Brien Trees; 4 Beauville Groups of Small Order; References; Strongly Real Beauville Groups; 1 Introduction; 2 The Finite Simple Groups; 3 Characteristically Simple Groups
 4 The Symmetric and Alternating Groups5 Almost Simple Groups; 6 Nilpotent Groups; References; Beauville Surfaces and Probabilistic Group Theory; 1 Beauville Surfaces and Beauville Structures; 2 Beauville Surfaces and Finite Simple Groups; 3 Hyperbolic Triangle Groups and Their Finite Quotients; 4 Beauville Structures for the Group `39`42`""613A``45`47`""603APSL2(q); 4.1 Sketch of the Proof of Theorem 10; 4.2 Proof of Theorem 7; 5 Beauville Structures for Finite Simple Groups; 5.1 Choosing Disjoint Conjugacy Classes; 5.2 Frobenius Formula and Witten's Zeta Function
 4 Beauville Structures in Cartesian Powers5 The Groups L2(q); 6 Counting Triples; 7 The Suzuki Groups; 8 The Small Ree Groups; 9 The Sporadic Simple Groups; 9.1 The Mathieu Groups; 9.2 Other Small Sporadic Simple Groups; 9.3 The Larger Sporadic Simple Groups; 10 The Groups L3(q) and U3(q); 10.1 L3(q); 10.2 U3(q); References; Remarks on Lifting Beauville Structures of Quasisimple Groups ; 1 Introduction; 2 Frattini Covers of Beauville Groups; 3 Semidirect Products with Beauville Structures; 4 Questions; References
 Dimensions
 unknown
 Extent
 1 online resource
 File format
 unknown
 Form of item
 online
 Isbn
 9783319138626
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Note
 SpringerLink
 Other control number
 10.1007/9783319138626
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)907641023
 (OCoLC)ocn907641023
 Label
 Beauville surfaces and groups, Ingrid Bauer, Shelly Garion, Alina Vdovina, editors
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents

 Introduction; The Fundamental Group and Torsion Group of Beauville Surfaces; 1 Introduction; 2 ProductQuotient Surfaces; 3 The Fundamental Group; 4 Some Applications; References; Regular Algebraic Surfaces, Ramification Structures and Projective Planes; 1 Introduction; 2 Ramification Structures and Associated Surfaces; 2.1 Group Theoretical Structures; 2.2 From Ramification Structures to Algebraic Surfaces; 3 Groups with Special Presentations; 3.1 Ramification Structures for the Group in [15, Example 6.3]; 3.2 Ramification Structures for the Groups in [11, Example 3.3]
 3.3 Ramification Structures for the Group in [15, Example 6.4]3.4 Ramification Structures for the Groups of Theorem 3.1 with qge4; 3.5 Ramification Structures for the Group in [18, Example 2]; References; A Survey of Beauville pGroups; 1 Introduction; 2 Definitions; 2.1 Beauville Structures; 2.2 pGroups; 3 Beauville Groups in O'Brien Trees; 3.1 An Example; 3.2 Infinite Paths Through the O'Brien Trees; 4 Beauville Groups of Small Order; References; Strongly Real Beauville Groups; 1 Introduction; 2 The Finite Simple Groups; 3 Characteristically Simple Groups
 4 The Symmetric and Alternating Groups5 Almost Simple Groups; 6 Nilpotent Groups; References; Beauville Surfaces and Probabilistic Group Theory; 1 Beauville Surfaces and Beauville Structures; 2 Beauville Surfaces and Finite Simple Groups; 3 Hyperbolic Triangle Groups and Their Finite Quotients; 4 Beauville Structures for the Group `39`42`""613A``45`47`""603APSL2(q); 4.1 Sketch of the Proof of Theorem 10; 4.2 Proof of Theorem 7; 5 Beauville Structures for Finite Simple Groups; 5.1 Choosing Disjoint Conjugacy Classes; 5.2 Frobenius Formula and Witten's Zeta Function
 4 Beauville Structures in Cartesian Powers5 The Groups L2(q); 6 Counting Triples; 7 The Suzuki Groups; 8 The Small Ree Groups; 9 The Sporadic Simple Groups; 9.1 The Mathieu Groups; 9.2 Other Small Sporadic Simple Groups; 9.3 The Larger Sporadic Simple Groups; 10 The Groups L3(q) and U3(q); 10.1 L3(q); 10.2 U3(q); References; Remarks on Lifting Beauville Structures of Quasisimple Groups ; 1 Introduction; 2 Frattini Covers of Beauville Groups; 3 Semidirect Products with Beauville Structures; 4 Questions; References
 Dimensions
 unknown
 Extent
 1 online resource
 File format
 unknown
 Form of item
 online
 Isbn
 9783319138626
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Note
 SpringerLink
 Other control number
 10.1007/9783319138626
 Other physical details
 illustrations.
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)907641023
 (OCoLC)ocn907641023
Subject
 Algebraic Geometry
 Algebraic geometry
 Conference papers and proceedings
 Electronic books
 Geometry, Algebraic
 Geometry, Algebraic  Congresses
 Group Theory and Generalizations
 Group theory
 Group theory  Congresses
 Groups & group theory
 MATHEMATICS  Geometry  General
 Mathematics
 Number Theory
 Number theory
 Surfaces, Algebraic
 Surfaces, Algebraic  Congresses
Genre
Member of
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/BeauvillesurfacesandgroupsIngridBauer/zfEyCgyqSvE/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/BeauvillesurfacesandgroupsIngridBauer/zfEyCgyqSvE/">Beauville surfaces and groups, Ingrid Bauer, Shelly Garion, Alina Vdovina, editors</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Beauville surfaces and groups, Ingrid Bauer, Shelly Garion, Alina Vdovina, editors
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/BeauvillesurfacesandgroupsIngridBauer/zfEyCgyqSvE/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/BeauvillesurfacesandgroupsIngridBauer/zfEyCgyqSvE/">Beauville surfaces and groups, Ingrid Bauer, Shelly Garion, Alina Vdovina, editors</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>