On the multiplicative group of simple algebras.
نویسندگان
چکیده
منابع مشابه
the structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
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Abstract. Let K be a field of characteristic p and G a nonabelian metacyclic finite p-group. We give an explicit list of all metacyclic p-groups G, such that the group algebra KG over a field of characteristic p has a filtered multiplicative K-basis. We also present an example of a non-metacyclic 2-group G, such that the group algebra KG over any field of characteristic 2 has a filtered multipl...
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Let FG be a group algebra of a finite non-abelian pgroup G and F a field of characteristic p. In this paper we give all minimal non-abelian p-groups and minimal non-metacyclic p-groups whose group algebras FG possess a filtered multiplicative F -basis.
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We give an explicit list of all p-groups G with a cyclic subgroup of index p2, such that the group algebra KG over the field K of characteristic p has a filtered multiplicative K-basis. We also proved that such a K-basis does not exist for the group algebra KG, in the case when G is either a powerful p-group or a two generated p-group ( p 6= 2 ) with a central cyclic commutator subgroup. This p...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1954
ISSN: 0025-5645
DOI: 10.2969/jmsj/00630262