Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups

DOI10.1090/memo/1375OpenAlexW2398398974MaRDI QIDQ5097144

Binzhou Xia, Cai Heng Li

Publication date: 19 August 2022

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0350

zbMATH Keywords

factorizationssolvable groupsalmost simple groups\(s\)-arc-transitive graphs

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Simple groups: alternating groups and groups of Lie type (20D06) Products of subgroups of abstract finite groups (20D40) Research exposition (monographs, survey articles) pertaining to group theory (20-02) Group actions on combinatorial structures (05E18)

Related Items (13)

A radius 1 irreducibility criterion for lattices in products of trees ⋮ Factorizations of almost simple groups with a factor having many nonsolvable composition factors ⋮ 2-arc-transitive Cayley graphs on alternating groups ⋮ Symmetric bi-Cayley graphs on nonabelian simple groups with prime valency ⋮ Subgroups of classical groups that are transitive on subspaces ⋮ Non‐abelian simple groups which occur as the type of a Hopf–Galois structure on a solvable extension ⋮ Cubic graphs admitting vertex-transitive almost simple groups ⋮ The exact factorizations of almost simple groups ⋮ The smallest vertex-primitive 2-arc-transitive digraph ⋮ The \(D_\pi\)-property on products of \(\pi\)-decomposable groups ⋮ s-Arc-regular prime-valent Cayley graphs of square-free order ⋮ The Existence of Minimal Logarithmic Signatures for Some Finite Simple Groups ⋮ Arc-transitive Cayley graphs on nonabelian simple groups with prime valency

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