Geodesic
Crossed group rings of finite groups and rings of $p$-adic integers with finitely many indecomposable integral representations
Sbornik. Mathematics, Tome 36 (1980) no. 2, pp. 173-194 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $F$ be a finite extension of the field $Q_p$ of rational $p$-adic numbers, $R$ the ring of all integral elements of $F$, $ R^*$ the multiplicative group of $R$, $G$ a finite group, and $\Lambda=(G,R,\lambda)$ the crossed group ring of $G$ and $R$ with the factor system $\{\lambda_{a,b}\}$ ($\lambda_{a,b}\in R^*$; $a,b\in G$). A classification is given of the rings $\Lambda$ for which the number of indecomposable $R$-representations is finite. When $\Lambda$ is a group ring, this problem was solved in papers by Faddeev, Borevich, Gudivok, Yakobinskii, and others. Bibliography: 22 titles. 
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     author = {L. F. Barannik and P. M. Gudivok},
     title = {Crossed group rings of finite groups and rings of $p$-adic integers with finitely many indecomposable integral representations},
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     pages = {173--194},
     year = {1980},
     volume = {36},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1980_36_2_a2/}
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L. F. Barannik; P. M. Gudivok. Crossed group rings of finite groups and rings of $p$-adic integers with finitely many indecomposable integral representations. Sbornik. Mathematics, Tome 36 (1980) no. 2, pp. 173-194. http://geodesic.mathdoc.fr/item/SM_1980_36_2_a2/

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