Geodesic
Serial group rings of finite groups. $p$-nilpotency
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 24, Tome 413 (2013), pp. 134-152 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove that for every finite $p$-nilpotent group $G$ with a cyclic $p$-Sylow subgroup and any field of characteristic $p$, the group ring $FG$ is serial. As a corollary we show that the group ring of a finite group oven an arbitrary field of characteristic $2$ is serial if and only if its $2$-Sylow subgroup is cyclic. 
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}
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A. V. Kukharev; G. E. Puninski. Serial group rings of finite groups. $p$-nilpotency. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 24, Tome 413 (2013), pp. 134-152. http://geodesic.mathdoc.fr/item/ZNSL_2013_413_a6/

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