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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 460, Pages 168–189 (Mi znsl6476)  
When the group ring of a simple finite group is serial

A. V. Kukhareva, I. B. Kaygorodovb, I. B. Gorshkov

a Vitebsk State University named after P. M. Masherov, Vitebsk, Belarus
b Universidade Federal do ABC, Santo André, Brazil
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Abstract: 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.
Key words and phrases: serial ring, group ring, finite simple group.
Funding agency Grant number
Belarusian Republican Foundation for Fundamental Research Ф17РМ-063
Russian Foundation for Basic Research 17-51-04004
Ministry of Education and Science of the Russian Federation MK-6118.2016.1
Received: 13.10.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 240, Issue 4, Pages 481–493
DOI: https://doi.org/10.1007/s10958-019-04365-z
Document Type: Article
UDC: 512.552.7+512.547.23
Language: Russian
Citation: A. V. Kukharev, I. B. Kaygorodov, I. B. Gorshkov, “When the group ring of a simple finite group is serial”, Problems in the theory of representations of algebras and groups. Part 32, Zap. Nauchn. Sem. POMI, 460, POMI, St. Petersburg, 2017, 168–189; J. Math. Sci. (N. Y.), 240:4 (2019), 481–493
Citation in format AMSBIB
\Bibitem{KukKayGor17}
\by A.~V.~Kukharev, I.~B.~Kaygorodov, I.~B.~Gorshkov
\paper When the group ring of a~simple finite group is serial
\inbook Problems in the theory of representations of algebras and groups. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 460
\pages 168--189
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6476}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 240
\issue 4
\pages 481--493
\crossref{https://doi.org/10.1007/s10958-019-04365-z}
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