<電子ブック>
Lectures on Finitely Generated Solvable Groups / by Katalin A. Bencsath, Marianna C. Bonanome, Margaret H. Dean, Marcos Zyman
(SpringerBriefs in Mathematics. ISSN:21918201)
版 | 1st ed. 2013. |
---|---|
出版者 | (New York, NY : Springer New York : Imprint: Springer) |
出版年 | 2013 |
大きさ | XIV, 52 p : online resource |
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:Group theory LCSH:Discrete mathematics LCSH:Algebra LCSH:Universal algebra LCSH:Commutative algebra LCSH:Commutative rings FREE:Group Theory and Generalizations FREE:Discrete Mathematics FREE:Algebra FREE:General Algebraic Systems FREE:Commutative Rings and Algebras |
一般注記 | 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 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 HTTP:URL=https://doi.org/10.1007/978-1-4614-5450-2 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
Springer eBooks | 9781461454502 |
|
電子リソース |
|
EB00197617 |
類似資料
この資料の利用統計
このページへのアクセス回数:4回
※2017年9月4日以降