Artículos de revistas
Lie properties of symmetric elements in group rings
Fecha
2009Registro en:
JOURNAL OF ALGEBRA, v.321, n.3, p.890-902, 2009
0021-8693
10.1016/j.jalgebra.2008.09.041
Autor
GIAMBRUNO, A.
MILIES, C. Polcino
SEHGAL, Sudarshan K.
Institución
Resumen
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.