Lie properties of symmetric elements in group rings
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2009
|
| 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. MIUR of Italy MIUR of Italy Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP[2005/60411-8] CNPq[300243/79-0] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) |
| Identificador |
JOURNAL OF ALGEBRA, v.321, n.3, p.890-902, 2009 0021-8693 http://producao.usp.br/handle/BDPI/30598 10.1016/j.jalgebra.2008.09.041 |
| Idioma(s) |
eng |
| Publicador |
ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Relação |
Journal of Algebra |
| Direitos |
restrictedAccess Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Palavras-Chave | #Group algebra #Lie nilpotent #Lie n-Engel #Symmetric element #UNITS #Mathematics |
| Tipo |
article original article publishedVersion |
