The most effective way to study any branch of mathematics is to
tackle its problems. This wide-ranging anthology offers a
straightforward approach, with 431 challenging problems in all
phases of group theory, from elementary to the most advanced. The
problems are arranged in eleven chapters: subgroups, permutation
groups, automorphisms and finitely generated Abelian groups, normal
series, commutators and derived series, solvable and nilpotent
groups, the group ring and monomial representations, Frattini
subgroup, factorization, linear groups, and representations and
characters. Each chapter features a preface of pertinent
definitions and theorems, and full solutions appear in a separate
section. Most of these problems are derived from research papers
published since 1950 (a listing of 102 references is supplied).
This compilation makes them readily accessible as a supplement to
courses in group theory. The presentation places equal emphasis on
techniques and results, encouraging the development of both skill
and comprehension.
General
Imprint: |
Dover Publications Inc.
|
Country of origin: |
United States |
Series: |
Dover Books on Mathematics |
Release date: |
February 2007 |
First published: |
2007 |
Authors: |
John D. Dixon
|
Dimensions: |
215 x 139 x 10mm (L x W x T) |
Format: |
Paperback
|
Pages: |
176 |
ISBN-13: |
978-0-486-45916-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
Groups & group theory
|
LSN: |
0-486-45916-0 |
Barcode: |
9780486459165 |
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