An introduction to group rings  pb.

by César Polcino Milies, Sudarshan K. Sehgal

Group rings play a central role in the theory of representations of groups and are very interesting algebraic objects in their own right. In their study, many branches of algebra come to a rich interplay. This book takes the reader from beginning to research level and contains many topics that, so far, were only found in papers published in scientific journals and, whenever possible, offers new proofs of known results. It also includes many historical notes and some applications. Audience: This book will be of interest to mathematicians working in the area of group rings and it serves as an introduction of the subject to graduate students.

「Nielsen BookData」より

Group rings play a central role in the theory of representations of groups and are very interesting algebraic objects in their own right. In their study, many branches of algebra come to a rich interplay. This book takes the reader from beginning to research level and contains many topics that, so far, were only found in papers published in scientific journals and, whenever possible, offers new proofs of known results. It also includes many historical notes and some applications. Audience: This book will be of interest to mathematicians working in the area of group rings and it serves as an introduction of the subject to graduate students.

「Nielsen BookData」より

[目次]

  • Preface. 1. Groups. 2. Rings, Modules and Algebras. 3. Group Rings. 4. A Glance at Group Representations. 5. Group Characters. 6. Ideals in Group Rings. 7. Algebraic Elements. 8. Units of Group Rings. 9. The Isomorphism Problem. 10. Free Group of Units. 11. Properties of the Unit Group. Bibliography. Index.

「Nielsen BookData」より

[目次]

  • Preface. 1. Groups. 2. Rings, Modules and Algebras. 3. Group Rings. 4. A Glance at Group Representations. 5. Group Characters. 6. Ideals in Group Rings. 7. Algebraic Elements. 8. Units of Group Rings. 9. The Isomorphism Problem. 10. Free Group of Units. 11. Properties of the Unit Group. Bibliography. Index.

「Nielsen BookData」より

この本の情報

書名 An introduction to group rings
著作者等 Milies, César Polcino
Sehgal, Sudarshan K.
Milies Cesar Polcino
シリーズ名 Algebras and applications
巻冊次 pb.
出版元 Kluwer Academic
刊行年月 c2002
版表示 Softcover reprint of the original 1st ed. 2002
ページ数 xi, 371 p.
大きさ 25 cm
ISBN 1402002394
1402002386
NCID BA55860555
※クリックでCiNii Booksを表示
言語 英語
出版国 オランダ
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