Exercises in Abelian Group Theory by D. ValcanExercises in Abelian Group Theory by D. Valcan

Exercises in Abelian Group Theory

byD. Valcan

Paperback | December 8, 2010

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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.
Title:Exercises in Abelian Group TheoryFormat:PaperbackDimensions:363 pagesPublished:December 8, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048162491

ISBN - 13:9789048162499

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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.