A classification of nonabelian simple 3-BCI-groups.

DOI10.1016/J.EJC.2009.11.003zbMATH Open1276.20013OpenAlexW1984127368MaRDI QIDQ976147

Weijun Liu, Wei Jin

Publication date: 17 June 2010

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.11.003

zbMATH Keywords

finite simple groups3-BCI-groupsbi-Cayley graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

Cites Work

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• Symmetry properties of Cayley graphs of small valencies on the alternating group \(A_5\)
• On isomorphisms of connected Cayley graphs. II
• On isomorphisms of finite Cayley graphs---a survey
• Finite CI-Groups are Soluble
• The finite simple groups with at most two fusion classes of every order
• Finite groups in which any two elements of the same order are either fused or inverse-fused
• A classification of semisymmetric graphs of order 2pq

Related Items (10)

On automorphisms of Haar graphs of abelian groups ⋮ Which Haar graphs are Cayley graphs? ⋮ A method of Bender applied to groups of J 3-type ⋮ Isomorphisms of generalized Cayley graphs ⋮ GCI-groups in the alternating groups ⋮ Finite BCI-groups are solvable ⋮ A classification of nilpotent $3$-BCI groups ⋮ A CLASSIFICATION OF FINITE GROUPS WITH INTEGRAL BI-CAYLEY GRAPHS ⋮ Isomorphisms of bi-Cayley graphs on Dihedral groups ⋮ Isomorphisms of finite semi-Cayley graphs

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