Overview

This is the first book on Abelian Group Theory (or Group Theory) to cover elementary results in Abelian Groups. It contains comprehensive coverage of almost all the topics related to the theory and is designed to be used as a course book for students at both undergraduate and graduate level. The text caters to students of differing capabilities by categorising the exercises in each chapter according to their level of difficulty starting with simple exercises (marked S1, S2 etc), of medium difficulty (M1, M2 etc) and ending with difficult exercises (D1, D2 etc). Solutions for all of the exercises are included. This book should also appeal to experts in the field as an excellent reference to a large number of examples in Group Theory.

Full Product Details

Author:   D. Valcan ,  C. Pelea ,  C. Modoi ,  S. Breaz
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 2003
Volume:   25
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.563kg
ISBN:  

9789048162499

ISBN 10:   9048162491
Pages:   351
Publication Date:   08 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Preface. List of Symbols. I: Statements. 1. Basic notions. Direct sums. 2. Divisible groups. 3. Pure subgroups. Basic subgroup. 4. Topological groups. Linear topologies. 5. Algebraically compact groups. 6. Homological methods. 7. p-groups. 8. Torsion-free groups. 9. Mixed groups. 10. Subgroup lattices of groups. II: Solutions. 1. Basic notions. Direct sums. 2. Divisible groups. 3. Pure subgroups. Basic subgroups. 4. Topological groups. Linear topologies. 5. Algebraically compact groups. 6. Homological methods. 7. p-groups. 8. Torsion-free groups. 9. Mixed groups. 10. Subgroup lattices of groups. Bibliography. Index.

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