On the realizability of a graph as the Gruenberg-Kegel graph of a finite group

DOI10.17377/SEMI.2016.13.007zbMath1348.05097OpenAlexW2969717949MaRDI QIDQ2630483

Yanyan Li

Publication date: 28 July 2016

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

Full work available at URL: https://science.urfu.ru/ru/publications/on-the-realizability-of-a-graph-as-the-gruenberg-kegel-graph-of-a

zbMATH Keywords

finite groupscomplete bipartite graphsprime graphssets of element ordersGruenberg-Kegel graphsrealizability of graphs

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 (4)

Criterion of unrecognizability of a finite group by its Gruenberg-Kegel graph ⋮ Gruenberg-Kegel graphs: cut groups, rational groups and the prime graph question ⋮ The prime graphs of groups with arithmetically small composition factors ⋮ On finite non-solvable groups whose Gruenberg-Kegel graphs are isomorphic to the paw

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