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.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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lower basic subgroup, isotype subgroup, algebraically compact group, cocyclic groups, mixed abelian groups, pure subgroup, maximal independent system, divisible hull, essential subgroup, infinite order elements, nice subgroups, endomorphic image, decomposable group, basic subgroups, divisible subgroup, torsion group, high subgroup, direct summand, bounded subgroup, divisible group, subgroup lattice, nonzero subgroups, epimorphic image, cyclic summands, divisible part Key Phrases - Capitalized Phrases (CAPs): (learn more)
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lower basic subgroup, isotype subgroup, algebraically compact group, cocyclic groups, mixed abelian groups, pure subgroup, maximal independent system, divisible hull, essential subgroup, infinite order elements, nice subgroups, endomorphic image, decomposable group, basic subgroups, divisible subgroup, torsion group, high subgroup, direct summand, bounded subgroup, divisible group, subgroup lattice, nonzero subgroups, epimorphic image, cyclic summands, divisible part Key Phrases - Capitalized Phrases (CAPs): (learn more)
Ulm Kaplansky New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 20
books:
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4
books
cite this book:
- Abelian Groups (Lecture Notes in Pure and Applied Mathematics) by Laszlo Fuchs on 5 pages
- New Mexico (Rookie Read-About Geography) by Cynthia Walker in Back Matter (1), Back Matter (2), and Back Matter (3)
- Infinite Abelian Groups. Volume 2 by Laszlo Fuchs in Front Matter, and Back Matter
- Pontryagin Duality and the Structure of Locally Compact Abelian Groups (London Mathematical Society Lecture Note Series) by Sidney A. Morris in Back Matter
- Examples of Groups by Michael Weinstein in Back Matter
See all 20 books this book cites
- Lectures on Morse Homology (Texts in the Mathematical Sciences) by Augustin Banyaga in Back Matter
- Mathematical Modelling: Case Studies and Projects (Texts in the Mathematical Sciences) by J. Caldwell in Back Matter
- Exercises in Functional Analysis (Texts in the Mathematical Sciences) by C. Costara in Back Matter
- The Linear Algebra a Beginning Graduate Student Ought to Know (Texts in the Mathematical Sciences) by Jonathan S. Golan on page
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