Geodesic
The seriality of the group ring of a finite group depends only on the characteristic of the field
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 26, Tome 423 (2014), pp. 57-66 Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove that the seriality of the group ring of a finite group over a field depends only on the characteristic of this field. 
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Yu. V. Volkov; A. V. Kukharev; G. E. Puninski. The seriality of the group ring of a finite group depends only on the characteristic of the field. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 26, Tome 423 (2014), pp. 57-66. http://geodesic.mathdoc.fr/item/ZNSL_2014_423_a2/

[1] F. W. Anderson, K. R. Fuller, Rings and Categories of Modules, Springer Graduate Texts in Math., 13, 2nd edition, 1992 | DOI | MR

[2] M. Auslander, I. Reiten, S. O. Smalø, Representation Theory of Artin Algebras, Cambridge Studies in Advanced Mathematics, 36, Cambridge, 1995 | MR | Zbl

[3] Y. Baba, K. Oshiro, Classical Artinian Rings, World Scient. Publ., 2009

[4] C. W. Curtis, I. Reiner, Methods of Representation Theory with Applications to Finite Groups and Orders, v. 1, Wiley-Interscience, 1981 | MR | Zbl

[5] W. Feit, The Representation Theory of Finite Groups, North-Holland, Amsterdam, 1982 | MR | Zbl

[6] M. Hazewinkel, N. Gubareni, V. V. Kirichenko, Algebras, Rings and Modules, v. 1, Kluwer, 2004 | Zbl

[7] A. Kukharev, G. Puninski, “Serial group rings of finite groups. $p$-solvability”, Algebra Discrete Math., 16:2 (2013), 201–216 | MR

[8] S. Pierce, Associative Algebras, Graduate Texts in Mathematics, 88, Springer, 1982 | DOI | MR | Zbl

[9] G. Puninski, Serial Rings, Kluwer, 2001 | MR | Zbl

[10] S. H. Weintraub, Representation Theory of Finite Groups, AMS Graduate Texts in Mathematics, 59, 2003 | MR | Zbl