Group identities on symmetric units

Autor(es)

Giambruno, A. ^[1] ; Milies, C. Polcino ^[2] ; Sehgal, Sudarshan K. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Journal of Algebra; v. 322, n. 8, p. 2801-2815, OCT 15 2009.
• Citações Web of Science: 12

Resumo

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)

• Processo FAPESP: 05/60411-8 - Edgar George Goodaire | Memorial University of Newfoundland - Canadá
• Beneficiário: Francisco Cesar Polcino Milies
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional