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

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 ge...

Full description

Saved in:
Bibliographic Details
Main Authors: Bencsath, Katalin A. (Author), Bonanome, Marianna C. (Author), Dean, Margaret H. (Author), Zyman, Marcos (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2013.
Edition:1st ed. 2013.
Series:SpringerBriefs in Mathematics,
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.

MARC

LEADER 00000nam a22000005i 4500
001 b3308057
003 MWH
005 20191220130422.0
007 cr nn 008mamaa
008 121029s2013 xxu| s |||| 0|eng d
020 |a 9781461454502 
024 7 |a 10.1007/978-1-4614-5450-2  |2 doi 
035 |a (DE-He213)978-1-4614-5450-2 
050 4 |a E-Book 
072 7 |a PBG  |2 bicssc 
072 7 |a MAT002010  |2 bisacsh 
072 7 |a PBG  |2 thema 
100 1 |a Bencsath, Katalin A.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Lectures on Finitely Generated Solvable Groups  |h [electronic resource] /  |c by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman. 
250 |a 1st ed. 2013. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |c 2013. 
300 |a XIV, 52 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a SpringerBriefs in Mathematics,  |x 2191-8198 
490 1 |a Springer eBook Collection 
505 0 |a 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 |a 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. 
590 |a Loaded electronically. 
590 |a Electronic access restricted to members of the Holy Cross Community. 
650 0 |a Group theory. 
650 0 |a Combinatorics. 
650 0 |a Algebra. 
650 0 |a Commutative algebra. 
650 0 |a Commutative rings. 
690 |a Electronic resources (E-books) 
700 1 |a Bonanome, Marianna C.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Dean, Margaret H.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Zyman, Marcos.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
830 0 |a SpringerBriefs in Mathematics,  |x 2191-8198 
830 0 |a Springer eBook Collection. 
856 4 0 |u https://holycross.idm.oclc.org/login?auth=cas&url=https://doi.org/10.1007/978-1-4614-5450-2  |3 Click to view e-book  |t 0 
907 |a .b33080574  |b 04-18-22  |c 02-26-20 
998 |a he  |b 02-26-20  |c m  |d @   |e -  |f eng  |g xxu  |h 0  |i 1 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649) 
902 |a springer purchased ebooks 
903 |a SEB-COLL 
945 |f  - -   |g 1  |h 0  |j  - -   |k  - -   |l he   |o -  |p $0.00  |q -  |r -  |s b   |t 38  |u 0  |v 0  |w 0  |x 0  |y .i2221219x  |z 02-26-20 
999 f f |i d5dfb2ff-b734-5cde-bf97-82ac1aaf9842  |s 4d1ec811-7cf1-5b4e-b1da-f5cde12a635b  |t 0 
952 f f |p Online  |a College of the Holy Cross  |b Main Campus  |c E-Resources  |d Online  |t 0  |e E-Book  |h Library of Congress classification  |i Elec File