Geodesic
Serial group rings of finite groups. General linear and close groups
Algebra and discrete mathematics, Tome 20 (2015) no. 1, pp. 115-125

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For a given $p$, we determine when the $p$-modular group ring of a group from $\mathrm{GL}(n,q)$, $\mathrm{SL}(n,q)$ and $\mathrm{PSL}(n,q)$-series is serial.
Keywords: serial ring, group ring, general linear group, special linear group, projective special linear group. 
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     author = {Andrei Kukharev and Gena Puninski},
     title = {Serial group rings of finite groups. {General} linear and close groups},
     journal = {Algebra and discrete mathematics},
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     number = {1},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2015_20_1_a8/}
}
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Andrei Kukharev; Gena Puninski. Serial group rings of finite groups. General linear and close groups. Algebra and discrete mathematics, Tome 20 (2015) no. 1, pp. 115-125. http://geodesic.mathdoc.fr/item/ADM_2015_20_1_a8/