Irreducible disconnected systems in groups

DOI10.1007/BF02810685zbMath0936.20020MaRDI QIDQ1806264

Gil Kaplan

Publication date: 27 February 2000

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

groupsFitting subgroupssubdegreescommon divisor graphsfinite nilpotent normal subgroupsirreducible systems in groups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Subgroup theorems; subgroup growth (20E07) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (1)

THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY

Cites Work

• Unnamed Item
• Permutation group subdegrees and the common divisor graph
• Subgroups close to normal subgroups
• On groups admitting a disconnected common divisor graph

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