Lie properties of symmetric elements in group rings

Autor(es)

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

Afiliação do(s) autor(es)

^[1] Univ Palermo, Dipartimento Matemat, I-90123 Palermo - Italy

^[2] Univ Sao Paulo, Inst Matemat & Estat, 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. 321, n. 3, p. 890-902, FEB 1 2009.
• Citações Web of Science: 25

Resumo

Let {*} be an involution of a group G extended linearly to the group algebra KG. We prove that if G contains no 2-elements and K is a field of characteristic p, 0 2, then the {*}-symmetric elements of KG are Lie nilpotent (Lie n-Engel) if and only if KG is Lie nilpotent (Lie n-Engel). (C) 2008 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