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The Resource Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block, by Lluís Puig, (electronic resource)
Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block, by Lluís Puig, (electronic resource)
Resource Information
The item Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block, by Lluís Puig, (electronic resource) 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 Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block, by Lluís Puig, (electronic resource) 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
 About 60 years ago, R. Brauer introduced "block theory"; his purpose was to study the group algebra kG of a finite group G over a field k of nonzero characteristic p: any indecomposable twosided ideal that also is a direct summand of kG determines a Gblock. But the main discovery of Brauer is perhaps the existence of families of infinitely many nonisomorphic groups having a "common block"; i.e., blocks having mutually isomorphic "source algebras". In this book, based on a course given by the author at Wuhan University in 1999, all the concepts mentioned are introduced, and all the proofs are developed completely. Its main purpose is the proof of the existence and the uniqueness of the "hyperfocal subalgebra" in the source algebra. This result seems fundamental in block theory; for instance, the structure of the source algebra of a nilpotent block, an important fact in block theory, can be obtained as a corollary. The exceptional layout of this bilingual edition featuring 2 columns per page (one English, one Chinese) sharing the displayed mathematical formulas is the joint achievement of the author and A. Arabia
 Language
 eng
 Extent
 1 online resource (v, 215 pages).
 Contents

 I. Introduction
 II. Lifting idempotents
 III. Points of the Oalgebras and multiplicity of the points
 IV. Divisors on Ninterior Galgebras
 V. Restriction and induction of divisors
 VI. Local pointed groups on Ninterior Galgebras
 VII. On Green's indecomposability theorem
 VIII. Fusions in Ninterior Galgebras
 IX. Ninterior Galgebras through Ginterior algebras
 X. The group algebra
 XI. Fusion Zalgebra of a block
 XII. Source algebras of blocks
 XIII. Local structure of the hyperfocal subalgebra
 XIV. Uniqueness of the hyperfocal subalgebra
 XV. Existence of the hyperfocal subalgebra
 XVI. On the exponential and logarithmic functions in Oalgebras
 Isbn
 9783662112564
 Label
 Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block
 Title
 Blocks of Finite Groups
 Title remainder
 the Hyperfocal Subalgebra of a Block
 Statement of responsibility
 by Lluís Puig
 Language
 eng
 Summary
 About 60 years ago, R. Brauer introduced "block theory"; his purpose was to study the group algebra kG of a finite group G over a field k of nonzero characteristic p: any indecomposable twosided ideal that also is a direct summand of kG determines a Gblock. But the main discovery of Brauer is perhaps the existence of families of infinitely many nonisomorphic groups having a "common block"; i.e., blocks having mutually isomorphic "source algebras". In this book, based on a course given by the author at Wuhan University in 1999, all the concepts mentioned are introduced, and all the proofs are developed completely. Its main purpose is the proof of the existence and the uniqueness of the "hyperfocal subalgebra" in the source algebra. This result seems fundamental in block theory; for instance, the structure of the source algebra of a nilpotent block, an important fact in block theory, can be obtained as a corollary. The exceptional layout of this bilingual edition featuring 2 columns per page (one English, one Chinese) sharing the displayed mathematical formulas is the joint achievement of the author and A. Arabia
 Cataloging source
 AU@
 http://library.link/vocab/creatorName
 Puig, Lluís
 Dewey number
 512.2
 Index
 no index present
 LC call number
 QA174183
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Springer Monographs in Mathematics,
 http://library.link/vocab/subjectName

 Mathematics
 Group theory
 Group theory
 Mathematics
 Label
 Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block, by Lluís Puig, (electronic resource)
 Antecedent source
 file reproduced from original
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 I. Introduction  II. Lifting idempotents  III. Points of the Oalgebras and multiplicity of the points  IV. Divisors on Ninterior Galgebras  V. Restriction and induction of divisors  VI. Local pointed groups on Ninterior Galgebras  VII. On Green's indecomposability theorem  VIII. Fusions in Ninterior Galgebras  IX. Ninterior Galgebras through Ginterior algebras  X. The group algebra  XI. Fusion Zalgebra of a block  XII. Source algebras of blocks  XIII. Local structure of the hyperfocal subalgebra  XIV. Uniqueness of the hyperfocal subalgebra  XV. Existence of the hyperfocal subalgebra  XVI. On the exponential and logarithmic functions in Oalgebras
 Dimensions
 unknown
 Extent
 1 online resource (v, 215 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9783662112564
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783662112564
 Quality assurance targets
 unknown
 Reformatting quality
 access
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)851381184
 (OCoLC)ocn851381184
 Label
 Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block, by Lluís Puig, (electronic resource)
 Antecedent source
 file reproduced from original
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 I. Introduction  II. Lifting idempotents  III. Points of the Oalgebras and multiplicity of the points  IV. Divisors on Ninterior Galgebras  V. Restriction and induction of divisors  VI. Local pointed groups on Ninterior Galgebras  VII. On Green's indecomposability theorem  VIII. Fusions in Ninterior Galgebras  IX. Ninterior Galgebras through Ginterior algebras  X. The group algebra  XI. Fusion Zalgebra of a block  XII. Source algebras of blocks  XIII. Local structure of the hyperfocal subalgebra  XIV. Uniqueness of the hyperfocal subalgebra  XV. Existence of the hyperfocal subalgebra  XVI. On the exponential and logarithmic functions in Oalgebras
 Dimensions
 unknown
 Extent
 1 online resource (v, 215 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9783662112564
 Isbn Type
 (electronic bk.)
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783662112564
 Quality assurance targets
 unknown
 Reformatting quality
 access
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)851381184
 (OCoLC)ocn851381184
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/BlocksofFiniteGroupstheHyperfocal/yR1Ir3jPHuU/" 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/BlocksofFiniteGroupstheHyperfocal/yR1Ir3jPHuU/">Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block, by Lluís Puig, (electronic resource)</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>