Group algebras with an Engel group of units

• Autores: A. A. Bovdi
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 80, Nº 2, 2006, págs. 173-178
• Idioma: inglés
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• Resumen

  • Let F be a field of characteristic p and G a group containing at least one element of order p. It is proved that the group of units of the group algebra FG is a bounded Engel group if FG and only if G is a bounded Engel algebra, and that this is the case if and only if is nilpotent and has a normal subgroup N such that both the factor group G/H and the commutator subgroup H1 are finite p-groups.