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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 524, Pages 166–176 (Mi znsl7362)  
This article is cited in 1 scientific paper (total in 1 paper)

Length of the group algebra of the direct product of a cyclic group and a cyclic $p$-group in the modular case

M. A. Khrystik

HSE University, Moscow
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Abstract: In this paper, the length of the group algebra of the direct product of a cyclic group and a cyclic $p$-group over a field of characteristic $p$ is calculated. A general lower bound for the length of a commutative group algebra is proved, and in the case of the direct product of a cyclic group and a cyclic $p$-group this bound is sharp.
Key words and phrases: finite-dimensional algebras, length of an algebra, group algebras, abelian groups, $p$-groups.
Funding agency Grant number
HSE Basic Research Program
Received: 02.10.2023
English version:
Journal of Mathematical Sciences (New York), 2024, Volume 281, Issue 2, Pages 334–341
DOI: https://doi.org/10.1007/s10958-024-07105-0
Document Type: Article
UDC: 512.552.7
Language: Russian
Citation: M. A. Khrystik, “Length of the group algebra of the direct product of a cyclic group and a cyclic $p$-group in the modular case”, Computational methods and algorithms. Part XXXVI, Zap. Nauchn. Sem. POMI, 524, POMI, St. Petersburg, 2023, 166–176; J. Math. Sci. (N. Y.), 281:2 (2024), 334–341
Citation in format AMSBIB
\Bibitem{Khr23}
\by M.~A.~Khrystik
\paper Length of the group algebra of the direct product of a cyclic group and a cyclic $p$-group in the modular case
\inbook Computational methods and algorithms. Part~XXXVI
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 524
\pages 166--176
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7362}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2024
\vol 281
\issue 2
\pages 334--341
\crossref{https://doi.org/10.1007/s10958-024-07105-0}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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