Coverart for item
The Resource Lectures on Finitely Generated Solvable Groups : [delta], by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman., (electronic book)

Lectures on Finitely Generated Solvable Groups : [delta], by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman., (electronic book)

Label
Lectures on Finitely Generated Solvable Groups : [delta]
Title
Lectures on Finitely Generated Solvable Groups
Title remainder
[delta]
Statement of responsibility
by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman.
Creator
Contributor
Subject
Language
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; thereforethese 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 froma combinatorial group theory perspective
Member of
Cataloging source
VT2
http://library.link/vocab/creatorName
Bencsath, Katalin A
Dewey number
512.2
Index
no index present
LC call number
QA182.5
LC item number
.L43 2013eb
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,
http://library.link/vocab/subjectName
  • Mathematics
  • Algebra
  • Group theory
  • Combinatorial analysis
Label
Lectures on Finitely Generated Solvable Groups : [delta], by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman., (electronic book)
Instantiates
Publication
Bibliography note
Includes bibliographical references
Contents
Foreword -- Preface.- Preliminaries.- Tools: Presentations and their Calculus.- Constructions -- Representations andaTheorem 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.
Control code
SPR889209150
Dimensions
unknown
Extent
1 online resource (XIV, 52 p.)
Form of item
online
Isbn
9781461454502
Other control number
10.1007/978-1-4614-5450-2
Other physical details
online resource.
Reproduction note
Electronic resource.
Specific material designation
remote
Label
Lectures on Finitely Generated Solvable Groups : [delta], by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman., (electronic book)
Publication
Bibliography note
Includes bibliographical references
Contents
Foreword -- Preface.- Preliminaries.- Tools: Presentations and their Calculus.- Constructions -- Representations andaTheorem 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.
Control code
SPR889209150
Dimensions
unknown
Extent
1 online resource (XIV, 52 p.)
Form of item
online
Isbn
9781461454502
Other control number
10.1007/978-1-4614-5450-2
Other physical details
online resource.
Reproduction note
Electronic resource.
Specific material designation
remote

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