A uniqueness proof for the Monster

DOI10.2307/1971455zbMath0691.20014OpenAlexW2335558286WikidataQ56083005 ScholiaQ56083005MaRDI QIDQ582386

Yoav Segev, Robert L. jun. Griess, Ulrich Meierfrankenfeld

Publication date: 1989

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971455

zbMATH Keywords

conjugacy classesautomorphism groupsinvolutionsgraphsirreducible representationsgroups of \(Co_1\)-typeuniqueness of the Monster

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) Finite simple groups and their classification (20D05)

Related Items (12)

The group of symmetries of the shorter Moonshine module ⋮ The flag-transitive tilde and Petersen-type geometries are all known ⋮ Associative subalgebras of low-dimensional Majorana algebras ⋮ A 7-Local Identification of the Monster ⋮ A brief history of the classification of the finite simple groups ⋮ Commuting involution graphs for sporadic simple groups. ⋮ On the uniqueness of the Harada-Norton group ⋮ An identification of the Monster group. ⋮ Constructing the Monster amalgam. ⋮ A new existence proof of the Monster by VOA theory ⋮ On the structure of axial algebras ⋮ \(Y\)-groups via transitive extension

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