Lectures on Finitely Generated Solvable Groups / by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman
(SpringerBriefs in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | New York, NY : Springer New York : Imprint: Springer , 2013 |
| 本文言語 | 英語 |
| 大きさ | XIV, 52 p : online resource |
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| 内容注記 | 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 |
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| 一般注記 | 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 |
| 著者標目 | *Bencsath, Katalin A. author Bonanome, Marianna C. author Dean, Margaret H. author Zyman, Marcos author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Algebra LCSH:Commutative algebra LCSH:Commutative rings LCSH:Group theory LCSH:Combinatorics FREE:Mathematics FREE:Group Theory and Generalizations FREE:Combinatorics FREE:Algebra FREE:General Algebraic Systems FREE:Commutative Rings and Algebras |
| 分 類 | DC23:512.2 |
| 巻冊次 | ISBN:9781461454502 
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| ISBN | 9781461454502 |
| URL | http://dx.doi.org/10.1007/978-1-4614-5450-2 |
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