A characterisation of weakly locally projective amalgams related to \(A_{16}\) and the sporadic simple groups \(M_{24}\) and \(He\).

DOI10.1016/j.jalgebra.2016.04.008zbMath1350.20004arXiv1405.3416OpenAlexW2338379869WikidataQ56987354 ScholiaQ56987354MaRDI QIDQ296667

Michael Giudici, Luke Morgan, Cheryl E. Praeger, Alexander A. Ivanov

Publication date: 23 June 2016

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

Full work available at URL: https://arxiv.org/abs/1405.3416

zbMATH Keywords

sporadic simple groupsamalgamslocally-transitive graphsweakly locally projective graphs

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (4)

A characterization of the Mathieu-Conway-Monster series of locally projective graphs ⋮ Locally projective graphs of symplectic type ⋮ The non-existence of a super-Janko group ⋮ Locally projective graphs and their densely embedded subgraphs

Uses Software

• Magma

Cites Work

• Regular groups of automorphisms of cubic graphs
• The Magma algebra system. I: The user language
• Tri-extraspecial groups
• Amalgams Determined By Locally Projective Actions
• Automorphisms of trivalent graphs
• The classification of the finite simple groups
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