The semiprimitivity problem for group algebras of locally finite groups
نویسندگان
چکیده
منابع مشابه
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Let K[G] be the group algebra of a locally finite group G over a field K of characteristic p > 0. In this paper, we show that K[G] is semiprimitive if and only if G has no locally subnormal subgroup of order divisible by p. Thus we settle the semiprimitivity problem for such group algebras by verifying a conjecture which dates back to the middle 1970’s. Of course, if G has a locally subnormal s...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 1996
ISSN: 0021-2172,1565-8511
DOI: 10.1007/bf02937319