On finite nonsolvable 5-primary groups with disconnected Gruenberg-Kegel graph such that \(|\pi(G/F(G))|\leq 4\)

DOI10.1007/S10958-018-3746-8zbMath1386.20017OpenAlexW2793787892MaRDI QIDQ1746331

V. A. Kolpakova, Anatoli Kondrat'ev

Publication date: 25 April 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-018-3746-8

zbMATH Keywords

commutator subgroupschief factorsGruenberg-Kegel graphalmost simple \(n\)-primary groups

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)

Uses Software

• GAP

Cites Work

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• On finite non-simple 4-primary groups.
• Prime graph components of finite groups
• Prime graph components of finite almost simple groups
• FINITE LINEAR GROUPS OF SMALL DEGREE. II
• PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
• Groups Having Strongly Self-Centralizing 3-Centralizers
• The Character Tables for SL(3, q), SU(3, q²), PSL(3, q), PSU(3, q²)

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