Synopsis
This wide-ranging text features 431 problems in group theory, with complete solutions. Topics include 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, and linear groups. 1967 edition.
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Problems in Group Theory (Dover Books on Mathematics)
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Problems in Group Theory (Paperback or Softback)
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Dover Publications 1/15/2007, 2007
ISBN 10: 0486459160
ISBN 13: 9780486459165
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Problems in Group Theory
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ISBN 10: 0486459160
ISBN 13: 9780486459165
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Problems in Group Theory (Dover Books on Mathematics)
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Problems in Group Theory (Paperback)
Published by
Dover Publications Inc., New York, 2007
ISBN 10: 0486459160
ISBN 13: 9780486459165
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Paperback. Condition: new. Paperback. 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. 265 challenging problems in all phases of group theory, gathered for the most part from papers published since 1950, although some classics are included. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486459165