Characterization of the alternating group by its non-commuting graph.

DOI10.1016/j.jalgebra.2012.01.038zbMath1255.20026OpenAlexW2001731410MaRDI QIDQ1758430

Alireza Abdollahi, Hamid Shahverdi

Publication date: 9 November 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.01.038

zbMATH Keywords

finite simple groupsalternating groupsnon-commuting graphs

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (12)

Metric and strong metric dimension in commuting graphs of finite groups ⋮ On characterization of a completely simple semigroup by its power graph and Green relations ⋮ Unnamed Item ⋮ Eulerian properties of non-commuting and non-cyclic graphs of finite groups ⋮ The orthogonality relation classifies finite-dimensional formally real simple Jordan algebras ⋮ Planarity and fixing number of inclusion graph of a nilpotent group ⋮ Diameters and automorphism groups of inclusion graphs over nilpotent groups ⋮ Graphs defined on groups ⋮ Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces ⋮ A Lower Bound of Conjugacy Class Length of Symmetric Group ⋮ DIAMETER OF COMMUTING GRAPHS OF SYMPLECTIC ALGEBRAS ⋮ A note on integral non-commuting graphs

Cites Work

• Groups with the same non-commuting graph.
• Prime graph components of finite groups
• On Thompson's conjecture
• Non-commuting graph of a group.
• A New Characterization ofA₁₀by its Noncommuting Graph
• The orders of the linear groups
• The orders of the classical simple groups
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