When the group ring of a simple finite group is serial

A. V. Kukharev   ; I. B. Kaygorodov   ; I. B. Gorshkov

Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 32, Tome 460 (2017), pp. 168-189

Résumé

A ring is called serial, if its right and left regular modules are the direct sums of chain modules. In the article, we give an answer on the question, for which simple finite groups, their group rings over a given field are serial.

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