The finite simple groups with at most two fusion classes of every order

DOI10.1080/00927879608825778zbMath0878.20010OpenAlexW2005639967WikidataQ56988235 ScholiaQ56988235MaRDI QIDQ4338183

Cai Heng Li, Cheryl E. Praeger

Publication date: 10 August 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825778

zbMATH Keywords

Cayley graphsfinite nonabelian simple groupsfusion classesinverse-fused classes

Mathematics Subject Classification ID

Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05)

Related Items (14)

Two sufficient conditions for non-normal Cayley graphs and their applications ⋮ Isomorphisms of finite Cayley digraphs of bounded valency ⋮ The isomorphism of generalized Cayley graphs on finite non-abelian simple groups ⋮ Finite groups in which any two elements of the same order are either fused or inverse-fused ⋮ Further restrictions on the structure of finite CI-groups ⋮ Isomorphisms of finite Cayley graphs ⋮ On finite groups with the Cayley invariant property ⋮ A classification of nonabelian simple 3-BCI-groups. ⋮ On finite groups with the Cayley isomorphism property. II ⋮ Finite Groups with Conjugacy Classes Number One Greater than Its Same Order Classes Number ⋮ On Finite Groups in Which Cyclic Subgroups of the Same Order are Conjugate ⋮ On isomorphisms of connected Cayley graphs, III ⋮ Some projective surfaces of GK-dimension 4 ⋮ Conjecture of Li and Praeger concerning the isomorphisms of Cayley graphs of \(A_5\)

Uses Software

• Cayley

Cites Work

• Unnamed Item
• On finite groups all of whose elements of the same order are conjugate in their automorphism groups
• 2-automorphic 2-groups
• The Sylow 2-subgroups of finite, soluble groups with a single class of involutions
• Groups with an automorphism group which is transitive on the elements of prime order
• A Recognition Algorithm for Special Linear Groups
• Asymmetric trees with two prescribed degrees
• Finite groups in which every pair of elements of the same order is either conjugate or inverse-conjugate
• Finite groups in which any two elements of the same order are either fused or inverse-fused

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