Abstract
This paper contains a solution to the semisimplicity problem for modular and integral representation algebras of finite groups over an arbitrary field. (Some of the results of this paper were announced in Dokl. Akad. Nauk SSSR 198 (1971), 509-512 = Soviet Math. Dokl. 12 (1971), 817-821; MR 43 #7522.)
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