On the Automorphism Group of an Integral Group Ring PDF Download
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Author: Gary Lee Peterson
Publisher:
ISBN:
Category : Automorphisms
Languages : en
Pages : 196
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Book Description
Author: Gary Lee Peterson
Publisher:
ISBN:
Category : Automorphisms
Languages : en
Pages : 196
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Book Description
Author: A. Giambruno
Publisher: American Mathematical Soc.
ISBN: 0821847716
Category : Mathematics
Languages : en
Pages : 283
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Book Description
Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.
Author: Charles Franklin Brown
Publisher:
ISBN:
Category : Group theory
Languages : en
Pages : 108
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Book Description
Author: K.W. Roggenkamp
Publisher: Birkhäuser
ISBN: 303488611X
Category : Mathematics
Languages : en
Pages : 215
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Book Description
The first part of the book centers around the isomorphism problem for finite groups; i.e. which properties of the finite group G can be determined by the integral group ring ZZG ? The authors have tried to present the results more or less selfcontained and in as much generality as possible concerning the ring of coefficients. In the first section, the class sum correspondence and some related results are derived. This part is the proof of the subgroup rigidity theorem (Scott - Roggenkamp; Weiss) which says that a finite subgroup of the p-adic integral group ring of a finite p-group is conjugate to a subgroup of the finite group. A counterexample to the conjecture of Zassenhaus that group basis are rationally conjugate, is presented in the semilocal situation (Scott - Roggenkamp). To this end, an extended version of Clifford theory for p-adic integral group rings is presented. Moreover, several examples are given to demonstrate the complexity of the isomorphism problem. The second part of the book is concerned with various aspects of the structure of rings of integers as Galois modules. It begins with a brief overview of major results in the area; thereafter the majority of the text focuses on the use of the theory of Hopf algebras. It begins with a thorough and detailed treatment of the required foundational material and concludes with new and interesting applications to cyclotomic theory and to elliptic curves with complex multiplication. Examples are used throughout both for motivation, and also to illustrate new ideas.
Author: Sudarshan K. Sehgal
Publisher: Halsted Press
ISBN: 9780470200087
Category :
Languages : en
Pages : 357
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Book Description
Author: Peter Floodstrand Blanchard
Publisher:
ISBN:
Category :
Languages : en
Pages : 134
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Book Description
Author: Jon M Corson
Publisher: World Scientific
ISBN: 9814551910
Category :
Languages : en
Pages : 158
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Book Description
This proceedings volume consists of contributed papers which deal with diverse topics ranging from logical questions to geometric methods and covering both integral group rings and group algebras. Some papers are research announcements, or of a descriptive nature, while others are research papers.
Author: Lee Klingler
Publisher: American Mathematical Soc.
ISBN: 0821823434
Category : Group rings
Languages : en
Pages : 138
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Book Description
By using pullbacks, we obtain a description of finitely generated modules over the integral group ring of a non-abelian group of order [italic]pq. The description is detailed enough to obtain information about the behavior of the modules in direct sums. We make the description more precise by relating it to the locally free class group of the integral group ring.
Author: Freddy Van Oystaeyen
Publisher: Springer Science & Business Media
ISBN: 9400963696
Category : Mathematics
Languages : en
Pages : 569
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Book Description
Proceedings of the NATO Advanced Study Institute, Antwerp, Belgium, August 2-12, 1983
Author: Vesselin Drensky
Publisher: CRC Press
ISBN: 9780824701833
Category : Mathematics
Languages : en
Pages : 332
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Book Description
"Furnishes important research papers and results on group algebras and PI-algebras presented recently at the Conference on Methods in Ring Theory held in Levico Terme, Italy-familiarizing researchers with the latest topics, techniques, and methodologies encompassing contemporary algebra."
