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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
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
Citation:
A. S. Kondrat'ev, “Finite 4-primary groups with disconnected Gruenberg–Kegel graph containig a triangle”, Algebra Logika, 62:1 (2023), 76–92
Linking options:
https://www.mathnet.ru/eng/al2748 https://www.mathnet.ru/eng/al/v62/i1/p76
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Abstract page: | 77 | Full-text PDF : | 29 | References: | 14 |
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