Construction of finite groups amalgams and geometries. Geometries of the group U4(2)

DOI10.1080/00927879008823955zbMath0703.20011OpenAlexW2159159488MaRDI QIDQ3481927

Edward A. Komissartschik, Sergei V. Tsaranov

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008823955

zbMATH Keywords

maximal subgroupsresidually connected and flag transitive geometries

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Buildings and the geometry of diagrams (51E24) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Simple groups: alternating groups and groups of Lie type (20D06) Combinatorial geometries and geometric closure systems (51D20)

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Once again on polyhedral groups and Dynkin graphs ⋮ Geometries and amalgams of J₁ ⋮ Geometries and amalgams of J₁

Cites Work

• Flag structures on Tits geometries
• Minimal parabolic geometries for the sporadic groups
• Diagrams for geometries and groups
• The non-abelian simple groups g, |g| < 10⁶— character tables
• Intersections of maximal subgroups in simple groups of order less than 10⁶
• The primitive permutation groups of degree less than 1000

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