Group algebras whose group of units is powerfull

• Autores: V.A. Bovdi
• Localización: Journal of the Australian Mathematical Society, ISSN 1446-7887, Vol. 87, Nº 3, 2009, págs. 325-328
• Idioma: inglés
• DOI: 10.1017/s1446788709000214
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• Resumen

  • A p-group is called powerful if every commutator is a product of pth powers when p is odd and a product of fourth powers when p=2. In the group algebra of a group G of p-power order over a finite field of characteristic p, the group of normalized units is always a p-group. We prove that it is never powerful except, of course, when G is abelian.