Isomorphism of commutative group algebras of closed $p$-groups and $p$-local algebraically compact groups
نویسندگان
چکیده
منابع مشابه
ISOMORPHISM OF COMMUTATIVE GROUP ALGEBRAS OF p-MIXED SPLITTING GROUPS OVER RINGS OF CHARACTERISTIC ZERO
Suppose G is a p-mixed splitting abelian group and R is a commutative unitary ring of zero characteristic such that the prime number p satisfies p / ∈ inv(R)∪ zd(R). Then R(H) and R(G) are canonically isomorphic R-group algebras for any group H precisely when H and G are isomorphic groups. This statement strengthens results due to W.May published in J.Algebra (1976) and to W.Ullery published in...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06300-1