Problems in Group Theory - Brossura

Dixon, John D.

Brossura

ISBN 10: 0486459160 ISBN 13: 9780486459165

Casa editrice: Dover Pubns, 2007

Riassunto

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.

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Product Description

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.

Dettagli dell'edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2007
• Lingua: Inglese
• ISBN 10: 0486459160
• ISBN 13: 9780486459165
• Rilegatura: Copertina flessibile
• Numero di pagine: 176
• Contatto del produttore: non disponibile
• Persona responsabile: Soc. Agr. La Raia Ss; http://www.la-raia.it; ; Strada Monterotondo, 79; Novi Ligure; 15067; Italia