Geometric characterization of the sporadic groups \(Fi_{22}\), \(Fi_{23}\), and \(Fi_{24}\)

DOI10.1016/0097-3165(94)90093-0zbMath0808.05060OpenAlexW1969857480WikidataQ56872297 ScholiaQ56872297MaRDI QIDQ1336442

Dimitrii V. Pasechnik

Publication date: 22 November 1994

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(94)90093-0

zbMATH Keywords

sporadic groupscharacterization theorem

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Simple groups: sporadic groups (20D08) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Generalized quadrangles and generalized polygons in finite geometry (51E12)

Related Items

On geometries of the Fischer groups, On hyperovals of polar spaces, Extended generalized octagons and the group \(He\), Extending polar spaces of rank at least 3, Local characterizations of geometries, On Borsuk's conjecture for two-distance sets, The local recognition of reflection graphs of spherical Coxeter groups, More on geometries of the Fischer group \(Fi_{22}\).

Cites Work

• Flag-transitive extensions of \(C_ n\) geometries
• Extended generalized quadrangles
• Locally cotriangular graphs
• Some polar towers
• Locally polar spaces and related rank 3 groups
• Geometric characterization of graphs from the Suzuki chain
• An existence lemma for groups generated by \(3\)-transpositions
• On a generalization of Fischer spaces
• Affine polar spaces
• On the foundations of polar geometry
• Finite groups generated by 3-transpositions. I
• On the Non-Existence of a Semi-Symmetric 3-Design with 78 Points
• On fischer's characterization of Sp_2n(2)and U_n(2)
• A uniqueness lemma for groups generated by 3-transpositions
• A characterization of the groups Fi 22, Fi 23 and Fi 24
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