Lectures on Finitely Generated Solvable Groups are based on the βTopics 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.Β While knowledge about finitely generat
Lectures on Finitely Generated Solvable Groups
β Scribed by Bencsath, Katalin A.; Bonanome, Marianna C.; Dean, Margaret H.; Zyman, Marcos
- Publisher
- Springer
- Year
- 2013
- Tongue
- English
- Leaves
- 63
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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
π SIMILAR VOLUMES
<p>This book is a study of group theoretical properties of two disΒ parate kinds, firstly finiteness conditions or generalizations of finiΒ teness and secondly generalizations of solubility or nilpotence. It will be particularly interesting to discuss groups which possess properties of both types. T
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods
<p>"The exposition is open and easy to follow. Good motivation is the rule. The book will serve as an admirable text for a graduate course on group theory (several actually: one could scarcely hope to cover the whole in one course). Not the least of its attractions is the fund of examples at the end