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Lectures on Finitely Generated Solvable Groups (Record no. 44373)

MARC details
000 -LEADER
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001 - CONTROL NUMBER
control field sulb-eb0022281
003 - CONTROL NUMBER IDENTIFIER
control field BD-SySUS
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160413122241.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
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fixed length control field 121029s2013 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781461454502
-- 978-1-4614-5450-2
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-1-4614-5450-2
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA174-183
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBG
Source bicssc
Subject category code MAT002010
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.2
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bencsath, Katalin A.
Relator term author.
245 10 - TITLE STATEMENT
Title Lectures on Finitely Generated Solvable Groups
Medium [electronic resource] /
Statement of responsibility, etc. by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York, NY :
Name of producer, publisher, distributor, manufacturer Springer New York :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 2013.
300 ## - PHYSICAL DESCRIPTION
Extent XIV, 52 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement SpringerBriefs in Mathematics,
International Standard Serial Number 2191-8198
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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.
520 ## - SUMMARY, ETC.
Summary, etc. 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Algebra.
Topical term or geographic name as entry element Commutative algebra.
Topical term or geographic name as entry element Commutative rings.
Topical term or geographic name as entry element Group theory.
Topical term or geographic name as entry element Combinatorics.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Group Theory and Generalizations.
Topical term or geographic name as entry element Combinatorics.
Topical term or geographic name as entry element Algebra.
Topical term or geographic name as entry element General Algebraic Systems.
Topical term or geographic name as entry element Commutative Rings and Algebras.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Bonanome, Marianna C.
Relator term author.
Personal name Dean, Margaret H.
Relator term author.
Personal name Zyman, Marcos.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9781461454496
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title SpringerBriefs in Mathematics,
International Standard Serial Number 2191-8198
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-1-4614-5450-2">http://dx.doi.org/10.1007/978-1-4614-5450-2</a>
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