Geodesic
Finite 4-primary groups with disconnected Gruenberg–Kegel graph containig a triangle
Algebra i logika, Tome 62 (2023) no. 1, pp. 76-92

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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. 
@article{AL_2023_62_1_a5,
     author = {A. S. Kondrat'ev},
     title = {Finite 4-primary groups with disconnected {Gruenberg{\textendash}Kegel} graph containig a triangle},
     journal = {Algebra i logika},
     pages = {76--92},
     publisher = {mathdoc},
     volume = {62},
     number = {1},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2023_62_1_a5/}
}
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A. S. Kondrat'ev. Finite 4-primary groups with disconnected Gruenberg–Kegel graph containig a triangle. Algebra i logika, Tome 62 (2023) no. 1, pp. 76-92. http://geodesic.mathdoc.fr/item/AL_2023_62_1_a5/