A geometric characterization of Fischer's Baby Monster

DOI10.1023/A:1022433314190zbMath0781.05056OpenAlexW49114214MaRDI QIDQ686009

Alexander A. Ivanov

Publication date: 1 November 1993

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022433314190

zbMATH Keywords

characterizationdiagram geometryPetersen graphsporadic simple group\(P\)-geometryamalgams of groupsFischer-Griess MonsterFischer's Baby Monstersimple connectedness

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Combinatorial aspects of finite geometries (05B25)

Related Items (9)

A 11,707,448,673,375 vertex graph related to the Baby Monster. I, II. ⋮ Extended generalized octagons and the group \(He\) ⋮ The universal nonabelian representation of the Petersen type geometry related to \(J_ 4\) ⋮ A certain uniqueness result for the tilde geometry for \(F_4(2)\) ⋮ The flag-transitive tilde and Petersen-type geometries are all known ⋮ The Monster is fabulous ⋮ Commuting involution graphs for sporadic simple groups. ⋮ The last flag-transitive \(P\)-geometry ⋮ \(Y\)-groups via transitive extension

Cites Work

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• A characterization of the baby monster \(F_2\), including a note on \(^2E_6(2)\)
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• A Presentation for J ₄
• The existence and uniqueness of a simple group generated by {3,4} - transpositions

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