On the order of Borel subgroups of group amalgams and an application to locally-transitive graphs.

DOI10.1016/j.jalgebra.2015.02.029zbMath1339.20002arXiv1406.1370OpenAlexW1983325622MaRDI QIDQ2343510

Luke Morgan, Pablo Spiga, Gabriel Verret

Publication date: 6 May 2015

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

Full work available at URL: https://arxiv.org/abs/1406.1370

zbMATH Keywords

Borel subgroupslocally-transitive graphsfinite transitive permutation groupsgroup amalgamssemiprimitive permutation groups

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Group actions on combinatorial structures (05E18)

Related Items (4)

A theory of semiprimitive groups ⋮ Vertex-transitive graphs with local action the symmetric group on ordered pairs ⋮ An application of the Local C(G,T) Theorem to a conjecture of Weiss ⋮ Bounding the covolume of lattices in products

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