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25 Remote Warehouse Mathematics- Group Theory

Polycyclic Groups

by

Polycyclic Groups Cover

 

Synopses & Reviews

Publisher Comments:

The theory of polycyclic groups is a branch of infinite group theory which has a rather different flavour from the rest of that subject. This book is a comprehensive account of the present state of this theory. As well as providing a connected and self-contained account of the group-theoretical background, it explains in detail how deep methods of number theory and algebraic group theory have been used to achieve some very recent and rather spectacular advances in the subject. Up to now, most of this material has only been available in scattered research journals, and some of it is new. This book is the only unified account of these developments, and will be of interest to mathematicians doing research in algebra, and to postgraduate students studying that subject.

Synopsis:

The theory of polycyclic groups is a branch of infinite group theory which has a rather different flavour from the rest of that subject. This book is a comprehensive account of the present state of this theory.

Synopsis:

This book will be of interest to mathematicians doing research in algebra, and to postgraduate students studying that subject.

Table of Contents

Preface; Notation; 1. The elements, 2. Mal'cev's theorems; 3. Extensions; 4. Arithmetical methods; 5. Faithful representations; 6. On unipotent groups; 7. Semi-simple splitting; 8. Soluble Z-linear groups; 9. A finiteness theorem; 10. Polycyclic groups with isomorphic finite quotients; 11. Examples; Appendix; References; Index.

Product Details

ISBN:
9780521023948
Editor:
Bollobas, B.
Editor:
Fulton, W.
Editor:
Bollobas, Bela
Editor:
Bollobas, B.
Editor:
Fulton, W.
Author:
Segal, Daniel
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
Algebra - General
Subject:
Group Theory
Subject:
Polycyclic groups.
Subject:
Mathematics-Group Theory
Edition Description:
Trade paper
Series:
Cambridge Tracts in Mathematics
Series Volume:
82
Publication Date:
20050931
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
304
Dimensions:
5.98x9.01x.68 in. .99 lbs.

Related Subjects

Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Group Theory

Polycyclic Groups New Trade Paper
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Product details 304 pages Cambridge University Press - English 9780521023948 Reviews:
"Synopsis" by , The theory of polycyclic groups is a branch of infinite group theory which has a rather different flavour from the rest of that subject. This book is a comprehensive account of the present state of this theory.
"Synopsis" by , This book will be of interest to mathematicians doing research in algebra, and to postgraduate students studying that subject.
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