The Resource Lectures on Finitely Generated Solvable Groups, by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman, (electronic resource)

Lectures on Finitely Generated Solvable Groups, by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman, (electronic resource)

Label
Lectures on Finitely Generated Solvable Groups
Title
Lectures on Finitely Generated Solvable Groups
Statement of responsibility
by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Lectures on Finitely Generated Solvable Groups are based on the “Topics in Group Theory" course focused on finitely generated solvable groups that was given by Gilbert G. Baumslag at the Graduate School and University Center of the City University of New York. While knowledge about finitely generated nilpotent groups is extensive, much less is known about the more general class of solvable groups containing them. The study of finitely generated solvable groups involves many different threads; therefore these notes contain discussions on HNN extensions; amalgamated and wreath products; and other concepts from combinatorial group theory as well as commutative algebra. Along with Baumslag’s Embedding Theorem for Finitely Generated Metabelian Groups, two theorems of Bieri and Strebel are presented to provide a solid foundation for understanding the fascinating class of finitely generated solvable groups. Examples are also supplied, which help illuminate many of the key concepts contained in the notes. Requiring only a modest initial group theory background from graduate and post-graduate students, these notes provide a field guide to the class of finitely generated solvable groups from a combinatorial group theory perspective
Member of
http://library.link/vocab/creatorName
Bencsath, Katalin A
Dewey number
515.7242
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • DuJgn3szLQs
  • uxhIQJ9zHLM
  • N55BFj8I9UA
  • mQSKedyUJUE
Language note
English
LC call number
QA174-183
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Bonanome, Marianna C.
  • Dean, Margaret H.
  • Zyman, Marcos.
Series statement
  • SpringerBriefs in mathematics
  • SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Group theory
  • Combinatorics
  • Algebra
  • Group Theory and Generalizations
  • Combinatorics
  • Algebra
  • General Algebraic Systems
  • Commutative Rings and Algebras
Label
Lectures on Finitely Generated Solvable Groups, by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Foreword -- Preface.- Preliminaries.- Tools: Presentations and their Calculus.- Constructions -- Representations and a Theorem of Krasner and Kaloujnine.- The Bieri-Strebel Theorems -- Finitely Generated Metabelian Groups -- An Embedding Theorem for Finitely Generated Metabelian Groups .- Sketch of Proof of Lemma 1.1 -- Theorem 2.1 Details -- Presenting an (Internal) HNN-Extension -- References
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (62 p.)
Form of item
online
Isbn
9781283909051
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-5450-2
Specific material designation
remote
System control number
  • (CKB)2670000000278243
  • (EBL)1081924
  • (OCoLC)818827923
  • (SSID)ssj0000799759
  • (PQKBManifestationID)11497649
  • (PQKBTitleCode)TC0000799759
  • (PQKBWorkID)10765056
  • (PQKB)10348419
  • (DE-He213)978-1-4614-5450-2
  • (MiAaPQ)EBC1081924
  • (EXLCZ)992670000000278243
Label
Lectures on Finitely Generated Solvable Groups, by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Foreword -- Preface.- Preliminaries.- Tools: Presentations and their Calculus.- Constructions -- Representations and a Theorem of Krasner and Kaloujnine.- The Bieri-Strebel Theorems -- Finitely Generated Metabelian Groups -- An Embedding Theorem for Finitely Generated Metabelian Groups .- Sketch of Proof of Lemma 1.1 -- Theorem 2.1 Details -- Presenting an (Internal) HNN-Extension -- References
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (62 p.)
Form of item
online
Isbn
9781283909051
Media category
computer
Media type code
  • c
Other control number
10.1007/978-1-4614-5450-2
Specific material designation
remote
System control number
  • (CKB)2670000000278243
  • (EBL)1081924
  • (OCoLC)818827923
  • (SSID)ssj0000799759
  • (PQKBManifestationID)11497649
  • (PQKBTitleCode)TC0000799759
  • (PQKBWorkID)10765056
  • (PQKB)10348419
  • (DE-He213)978-1-4614-5450-2
  • (MiAaPQ)EBC1081924
  • (EXLCZ)992670000000278243

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