Inclusions of innately transitive groups into wreath products in product action with applications to 2-arc-transitive graphs

DOI10.1016/j.jpaa.2015.12.005zbMath1351.20002arXiv1507.01049OpenAlexW2962722863WikidataQ56987360 ScholiaQ56987360MaRDI QIDQ5964101

Cai Heng Li, Csaba Schneider, Cheryl E. Praeger

Publication date: 26 February 2016

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01049

zbMATH Keywords

wreath product2-arc-transitive graphproduct action

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Subgroups of symmetric groups (20B35) Group actions on combinatorial structures (05E18)

Related Items (1)

A new family of quasiprimitive 2-arc-transitive graphs of product action type

Uses Software

• GAP
• Magma

Cites Work

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• Two-arc transitive graphs admitting a two-dimensional projective linear group
• Finite permutation groups with a transitive minimal normal subgroup
• Intransitive Cartesian decompositions preserved by innately transitive permutation groups
• -TRANSITIVE DIGRAPHS PRESERVING A CARTESIAN DECOMPOSITION
• Endliche Gruppen I
• Innately transitive subgroups of wreath products in product action

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