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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Group identities on symmetric units

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Author(s):
Giambruno, A. [1] ; Milies, C. Polcino [2] ; Sehgal, Sudarshan K. [3]
Total Authors: 3
Affiliation:
[1] Univ Palermo, Dipartimento Matemat & Applicaz, I-90123 Palermo - Italy
[2] Univ Sao Paulo, Inst Matemat & Estatist, BR-05315970 Sao Paulo - Brazil
[3] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1 - Canada
Total Affiliations: 3
Document type: Journal article
Source: Journal of Algebra; v. 322, n. 8, p. 2801-2815, OCT 15 2009.
Web of Science Citations: 12
Abstract

Let F be an infinite field of characteristic different from 2, G a group and {*} an involution of G extended by linearity to an involution of the group algebra FG. Here we completely characterize the torsion groups G for which the {*}-symmetric units of FG satisfy a group identity. When {*} is the classical involution induced from g -> g(-1), g is an element of G, this result was obtained in {[} A. Giambruno, S. K. Sehgal, A. Valenti, Symmetric units and group identities, Manuscripta Math. 96 (1998) 443-461]. (C) 2009 Elsevier Inc. All rights reserved. (AU)

FAPESP's process: 05/60411-8 - Edgar George Goodaire | Memorial University of Newfoundland - Canada
Grantee:Francisco Cesar Polcino Milies
Support Opportunities: Research Grants - Visiting Researcher Grant - International