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
Provider
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; 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
Image bit depth
0
LC call number
QA174-183
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Bonanome, Marianna C.
  • Dean, Margaret H.
  • Zyman, Marcos.
  • SpringerLink
Series statement
SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Algebra
  • Group theory
  • Combinatorics
  • Mathematics
  • 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
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Extent
XIV, 52 p.
File format
multiple file formats
Form of item
electronic
Isbn
9781461454502
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4614-5450-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4614-5450-2
Label
Lectures on Finitely Generated Solvable Groups, by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Extent
XIV, 52 p.
File format
multiple file formats
Form of item
electronic
Isbn
9781461454502
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4614-5450-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4614-5450-2

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