Geodesic
Serial group rings of finite groups. $p$-solvability
Algebra and discrete mathematics, Tome 16 (2013) no. 2, pp. 201-216.

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We prove that for any finite $p$-solvable group $G$ with a cyclic $p$-Sylow subgroup and any field $F$ of characteristic $p$, the group ring $FG$ is serial. As a corollary for an arbitrary field we will produce a list of all groups of order $\leq 100$ whose group rings are serial.
Keywords: Serial ring, group ring
Mots-clés : $p$-solvable group. 
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A. Kukharev; G. Puninski. Serial group rings of finite groups. $p$-solvability. Algebra and discrete mathematics, Tome 16 (2013) no. 2, pp. 201-216. http://geodesic.mathdoc.fr/item/ADM_2013_16_2_a4/

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