Geodesic
Finite-dimensional algebras of integral $p$-adic representations of finite groups
Sbornik. Mathematics, Tome 23 (1974) no. 3, pp. 336-361 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $F$ be a inite extension of the field of rational $p$-adic numbers $Q_p$, $R$ he ring of integers of $F$, $G$ a finite group, $a(RG)$ the ring of $R$-representations of $G$ and $A(RG)=Q\otimes_Za(RG)$ ($Z$ is the ring of rational integers and $Q$ the rational number field). We study the algebra $A(RG)$ in the case where the number $n(RG)$ of indecomposable $R$-representations of $G$ is finite. In particular, for $G$ a $p$-group and $n(RG)<\infty$ we find a list of the tensor products of indecomposable $R$-representations of $G$ and obtain a description of the radical $N$ of $A(RG)$ and of the quotient algebra $A(RG)/N$. It turns out that in this case we always have $N^2=0$. Bibliography: 26 titles. 
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     author = {P. M. Gudivok and S. F. Goncharova and V. P. Rud'ko},
     title = {Finite-dimensional algebras of integral $p$-adic representations of finite groups},
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     pages = {336--361},
     year = {1974},
     volume = {23},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1974_23_3_a1/}
}
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P. M. Gudivok; S. F. Goncharova; V. P. Rud'ko. Finite-dimensional algebras of integral $p$-adic representations of finite groups. Sbornik. Mathematics, Tome 23 (1974) no. 3, pp. 336-361. http://geodesic.mathdoc.fr/item/SM_1974_23_3_a1/

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