The commuting graph of minimal nonsolvable groups

DOI10.1023/A:1013180005982zbMath0994.20012OpenAlexW22814841MaRDI QIDQ5956144

Yoav Segev

Publication date: 27 June 2002

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1013180005982

zbMATH Keywords

partitionsdivision algebrascommuting graphsminimal nonsolvable finite groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60)

Related Items (26)

Metric and strong metric dimension in commuting graphs of finite groups ⋮ Commuting Involution Graphs in Special Linear Groups ⋮ Note on structural properties of graphs ⋮ Non-commuting graphs of rings ⋮ Finite quotients of the multiplicative group of a finite dimensional division algebra are solvable ⋮ Minimal paths in the commuting graphs of semigroups ⋮ Commuting involution graphs for symmetric groups. ⋮ Certain properties of the enhanced power graph associated with a finite group ⋮ Diameters of commuting graphs of matrices over semirings ⋮ Distinguishing labeling of the actions of almost simple groups. ⋮ Commuting graphs of generalized dihedral groups ⋮ A Generalization of Noncommuting Graph via Automorphisms of a Group ⋮ Graphs defined on groups ⋮ The non-nilpotent graph of a semigroup. ⋮ On commuting graphs for elements of order 3 in symmetric groups ⋮ Commuting graphs of matrices over semirings. ⋮ On graphs and valuations. ⋮ Non-commuting graph of a group. ⋮ Automorphism group of an ideal-relation graph over a matrix ring ⋮ On the commuting graph of semidihedral group ⋮ On a Commuting Graph on Conjugacy Classes of Groups ⋮ Non-exterior square graph of finite group ⋮ The complexity of specific commuting graphs ⋮ On the Structure of the Commuting Graph of Brandt Semigroups ⋮ The commuting graph of the symmetric inverse semigroup ⋮ The Margulis-Platonov conjecture for \(\text{SL}_{1,D}\) and 2-generation of finite simple groups.

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