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Catalogue Information
Field name	Details
Dewey Class	512.2
Title	Lectures on Finitely Generated Solvable Groups (EB) / by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman.
Author	Bencsath, Katalin A.
Added Personal Name	Bonanome, Marianna C.
	Dean, Margaret H.
	Zyman, Marcos
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2013.
Physical Details	XIV, 52 pages : online resource.
Series	SpringerBriefs in Mathematics 2191-8198
ISBN	9781461454502
Summary Note	Lectures on Finitely Generated Solvable Groups are based on the âTopics 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.Â While knowledge about finitely generated nilpotent groups is extensive, much less is known about the more general class of solvable groups containing them.Â The study of finitely generated solvable groups involves many different threads; thereforeÂ these notes contain discussions on HNN extensions; amalgamated and wreath products; and other concepts from combinatorial group theory as well as commutative algebra.Â Along with Baumslagâs 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.Â Examples are also supplied, which help illuminate many of the key concepts contained in the notes.Â 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 fromÂ a combinatorial group theory perspective.:
Contents note	Foreword -- Preface.-Â Preliminaries.-Â Tools: Presentations and their Calculus.-Â Constructions -- Representations andÂ aÂ Theorem of Krasner and Kaloujnine.-Â The Bieri-Strebel Theorems -- Finitely Generated Metabelian Groups -- An Embedding Theorem for Finitely Generated Metabelian Groups .-Â Sketch of Proof of Lemma 1.1 -- Theorem 2.1 Details -- Presenting an (Internal) HNN-Extension -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-5450-2
Links to Related Works	Subject References: Algebra . Combinatorics . Commutative Rings and Algebras . General Algebraic Systems . Group theory . Group Theory and Generalizations . Mathematics . Authors: author . Bencsath, Katalin A. . Bonanome, Marianna C. . Dean, Margaret H. . Zyman, Marcos . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematics . Classification: 512.2 .

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Lectures on Finitely Generated Solvable Groups

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