Star-group identities on units of group algebras: The non-torsion case

Texto completo
Autor(es):	Giambruno, Antonio ^[1] ; Milies, Cesar Polcino ^[2] ; Sehgal, Sudarshan K. ^[3] Número total de Autores: 3
Afiliação do(s) autor(es):	^[1] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo - Italy ^[2] Univ Sao Paulo, Inst Matemat & Estat, Caixa Postal 66281, BR-05315970 Sao Paulo - Brazil ^[3] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1 - Canada Número total de Afiliações: 3
Tipo de documento:	Artigo Científico
Fonte:	FORUM MATHEMATICUM; v. 30, n. 1, p. 213-225, JAN 2018.
Citações Web of Science:	0
Resumo
Let G be a group, F a field and FG the corresponding group algebra. We consider an involution on FG which is the linear extension of an involution of G, e.g., g{} = g(-1) for g is an element of G. This paper is focused on the characterization of a non-torsion group G provided the group of units U(FG) satisfies a {}-group identity. The torsion case was studied in {[}7], and when {*} is the classical involution, this problem was solved in the case of symmetric units in {[}21]. (AU)

Processo FAPESP:	09/52665-0 - Grupos, anéis e álgebras: interações e aplicações
Beneficiário:	Francisco Cesar Polcino Milies
Modalidade de apoio:	Auxílio à Pesquisa - Temático