On the Structure of Group Algebras, I
1965 ◽
Vol 17
◽
pp. 583-593
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Keyword(s):
With this paper we begin a study of the structure of the group algebra RG of a finite group G over the ring of algebraic integers R in an algebraic number field k. The basic question is whether non-isomorphic groups can have isomorphic algebras over R. We shall show that this is impossible if G is (a) abelian,(b) Hamiltonian,(c) one of a special class of p-groups.
Keyword(s):
2017 ◽
Vol 13
(10)
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pp. 2505-2514
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1980 ◽
Vol 29
(4)
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pp. 385-392
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1993 ◽
Vol 113
(3)
◽
pp. 449-460
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Keyword(s):
1988 ◽
Vol 53
(2)
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pp. 470-480
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1970 ◽
Vol 22
(3)
◽
pp. 626-640
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