ON THE COMMUTING GRAPH ASSOCIATED WITH THE SYMMETRIC AND ALTERNATING GROUPS
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Publication:3520473
DOI10.1142/S0219498808002710zbMath1151.20013MaRDI QIDQ3520473
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Publication date: 26 August 2008
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Simple groups: alternating groups and groups of Lie type (20D06) Connectivity (05C40) Symmetric groups (20B30)
Related Items (39)
A NOTE ON THE COMMUTING GRAPHS OF A CONJUGACY CLASS IN SYMMETRIC GROUPS ⋮ Perfect codes and universal adjacency spectra of commuting graphs of finite groups ⋮ The divisibility graph of finite groups of Lie type ⋮ Braids with Trivial Simple Centralizer ⋮ Energy of commuting graph of finite AC-groups ⋮ Finite groups whose commuting graphs are integral ⋮ On diameters estimations of the commuting graphs of Sylow $p$-subgroups of the symmetric groups ⋮ Minimal paths in the commuting graphs of semigroups ⋮ The Engel graph of a finite group ⋮ On a commuting graph of tiny braids ⋮ Centralizers in the full transformation semigroup. ⋮ Commuting graph of CA−groups ⋮ A study of enhanced power graphs of finite groups ⋮ Infinite injective transformations whose centralizers have simple structure. ⋮ Graphs defined by orthogonality. ⋮ Commuting involution graphs in classical affine Weyl groups ⋮ The diameter of the commuting graph of a finite group with trivial centre. ⋮ Diameters of commuting graphs of matrices over semirings ⋮ The structure of centralizers in the finite symmetric inverse semigroup ⋮ On resolvability of a graph associated to a finite vector space ⋮ Covering codes of a graph associated with a finite vector space ⋮ Commuting involution graphs for 4-dimensional projective symplectic groups ⋮ Unnamed Item ⋮ Commuting graphs of generalized dihedral groups ⋮ Graphs defined on groups ⋮ Perfect commuting graphs ⋮ On the Diameters of Commuting Graphs Arising from Random Skew-Symmetric Matrices ⋮ On the diameters of commuting graphs of permutational wreath products ⋮ CENTRALISERS IN THE INFINITE SYMMETRIC INVERSE SEMIGROUP ⋮ Commuting graphs of matrices over semirings. ⋮ Properties of tiny braids and the associated commuting graph ⋮ Automorphism group of an ideal-relation graph over a matrix ring ⋮ Centralizers of full injective transformations in the symmetric inverse semigroup ⋮ On the commuting graph of semidihedral group ⋮ On groups covered by finitely many centralizers and domination number of the commuting graphs ⋮ On the soluble graph of a finite group ⋮ On the Structure of the Commuting Graph of Brandt Semigroups ⋮ EXTENDING RESULTS OF MORGAN AND PARKER ABOUT COMMUTING GRAPHS ⋮ The commuting graph of the symmetric inverse semigroup
Uses Software
Cites Work
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- Anisotropic groups of type \(A_n\) and the commuting graph of finite simple groups.
- Prime graph components of finite groups
- Commuting involution graphs for symmetric groups.
- Non-commuting graph of a group.
- Commuting graphs of some subsets in simple rings
- The connectivity of commuting graphs
- PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS
- Maximal order Abelian Subgroups of Symmetric Groups
- On the partially ordered set of nilpotent subgroups of a finite group
- Noncyclic Graph of a Group
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