Groups, Rings and Group Rings

By: Antonio Giambruno (Editor), Cesar Polcino Milies (Editor), Sudarshan K. Sehgal (Editor)

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Paperback | 20 January 2006 | Edition Number 1

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368 Pages

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25.4 x 17.8 x 2.54

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This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes from group theory and ring theory, exploring their relationship with other branches of algebra including actions of Hopf algebras, groups of units of group rings, combinatorics of Young diagrams, polynomial identities, growth of algebras, and more. Featuring international contributions, this book is ideal for mathematicians specializing in these areas.

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On fine gradings on central simple algebras	p. 1
On observable module categories	p. 11
Group gradings on integral group rings	p. 25
Profinite graphs - comparing notions	p. 33
Lie identities in symmetric elements in group rings : a survey	p. 43
Irreducible morphisms in subcategories	p. 57
Bol loops with a unique nonidentity commutator/associator	p. 73
Weil representations of symplectic groups	p. 81
Gradings and graded identities for the upper triangular matrices over an infinite field	p. 91
Structure of some classes of repeated-root constacyclic codes over integers modulo 2[superscript m]	p. 105
Units in noncommutative orders	p. 119
Idempotents in group algebras and coding theory	p. 137
Finitely generated constants of free algebras	p. 149
Partial actions of groups on semiprime rings	p. 155
Representations of affine Lie superalgebras	p. 163
On algebras and superalgebras with linear codimension growth	p. 173
On spectra of group rings of finite Abelian groups	p. 183
Wedderburn decomposition of small rational group algebras	p. 191
Some questions on skewfields	p. 201
On the role of rings and modules in algebraic coding theory	p. 205
Semiperfect rings with T-nilpotent prime radical	p. 217
The structure of the baric algebras	p. 233
On torsion units of integral group rings of groups of small order	p. 243
On a conjecture of Zassenhaus for metacyclic groups	p. 253
Nilpotent blocks revisisted	p. 263
Decomposition of central units of integral group rings	p. 275
Generic units in ZC	p. 279
On quasi-Frobenius semigroup algebras	p. 287
Twisted loop algebras and Galois cohomology	p. 293
Presentation of the group of units of ZD[subscript 16][superscript -]	p. 305
Engel theorem for Jordan superalgebras	p. 315
A characterization of centre-by-finite subgroups of division algebras	p. 321
Isomorphic rational group algebras	p. 331
Table of Contents provided by Blackwell. All Rights Reserved.

Groups, Rings and Group Rings

At a Glance

Paperback

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How to return your order

Defective items

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