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Algebra i logika, 2023, Volume 62, Number 1, Pages 76–92
DOI: https://doi.org/10.33048/alglog.2023.62.105
(Mi al2748)
 

Finite 4-primary groups with disconnected Gruenberg–Kegel graph containig a triangle

A. S. Kondrat'evab

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
References:
Abstract: We give a description of finite 4-primary groups with disconnected Gruenberg–Kegel graph containing a triangle. As a corollary, finite groups whose Gruenberg–Kegel graph coincides with the Gruenberg–Kegel graph of $^3D_4(2)$ are exemplified, which generalizes V. D. Mazurov' description of finite groups isospectral to the group $^3D_4(2)$.
Keywords: finite group, 4-primary group, chief factor, Gruenberg–Kegel graph (prime graph), Brauer character.
Received: 24.05.2022
Revised: 30.10.2023
Document Type: Article
UDC: 512.542
Language: Russian
Citation: A. S. Kondrat'ev, “Finite 4-primary groups with disconnected Gruenberg–Kegel graph containig a triangle”, Algebra Logika, 62:1 (2023), 76–92
Citation in format AMSBIB
\Bibitem{Kon23}
\by A.~S.~Kondrat'ev
\paper Finite 4-primary groups with disconnected Gruenberg--Kegel graph containig a triangle
\jour Algebra Logika
\yr 2023
\vol 62
\issue 1
\pages 76--92
\mathnet{http://mi.mathnet.ru/al2748}
\crossref{https://doi.org/10.33048/alglog.2023.62.105}
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    Алгебра и логика Algebra and Logic
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