The Uniqueness of Groups of Lyons Type

DOI10.2307/2152751zbMath0758.20002OpenAlexW4243235256MaRDI QIDQ3989185

Michael Aschbacher, Yoav Segev

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2152751

zbMATH Keywords

uniquenesscollinearity graphLyons groupcomputer free proof3-local geometry

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Finite simple groups and their classification (20D05)

Related Items (6)

Commuting involution graphs for 4-dimensional projective symplectic groups ⋮ A characterization of the sporadic group of Lyons. ⋮ Simple connectivity of \(p\)-group complexes ⋮ On commuting graphs for elements of order 3 in symmetric groups ⋮ Locally connected simplicial maps ⋮ The fundamental group of the p‐subgroup complex

Cites Work

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• The modular characters of the Mathieu groups
• Extending morphisms of groups and graphs
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• A characterization of the McLaughlin's simple group
• Evidence for a new finite simple group
• The maximal subgroups of Conway's group C\(_3\) and McLaughlin's group
• ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUP

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