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On realizability of a graph as the prime graph of a finite group

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Publication:891998
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zbMath1328.05084MaRDI QIDQ891998

I. V. Khramtsov, Anatoli Kondrat'ev, Alexander L. Gavrilyuk, Natal'ya Vladimirovna Maslova

Publication date: 18 November 2015

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: http://semr.math.nsc.ru/v11/p246-257.pdf


zbMATH Keywords

finite groupsprime graphsGruenberg-Kegel graphrealizability of a graph


Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graph representations (geometric and intersection representations, etc.) (05C62)


Related Items (6)

Finite groups with given properties of their prime graphs ⋮ Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ Finite groups whose prime graphs do not contain triangles. I ⋮ Unnamed Item ⋮ The Gruenberg-Kegel graph of finite solvable rational groups ⋮ Gruenberg-Kegel graphs: cut groups, rational groups and the prime graph question






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