Geodesic
On modular and integral representation algebras on finite groups
Izvestiya. Mathematics , Tome 7 (1973) no. 5, pp. 963-989

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This paper contains a solution to the semisimplicity problem for modular and integral representation algebras of finite groups over an arbitrary field. 
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     author = {P. M. Gudivok and V. P. Rud'ko},
     title = {On modular and integral representation algebras on finite groups},
     journal = {Izvestiya. Mathematics },
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     year = {1973},
     language = {en},
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P. M. Gudivok; V. P. Rud'ko. On modular and integral representation algebras on finite groups. Izvestiya. Mathematics , Tome 7 (1973) no. 5, pp. 963-989. http://geodesic.mathdoc.fr/item/IM2_1973_7_5_a0/