On a parabolic system of type \(M_{24}\)

DOI10.1016/0021-8693(91)90224-VzbMath0735.20007MaRDI QIDQ1178865

Stefan Heiss

Publication date: 26 June 1992

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

zbMATH Keywords

relationsgeneratorsfinite simple groupscomposition series\(M_{24}\)\(He\)minimal parabolic system

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Geometric group theory (20F65) Other finite nonlinear geometries (51E25)

Related Items (11)

Classification of certain types of tilde geometries ⋮ On geometries of the Fischer groups ⋮ Some module results for groups with diagram ⋮ A certain uniqueness result for the tilde geometry for \(F_4(2)\) ⋮ The flag-transitive tilde and Petersen-type geometries are all known ⋮ An infinite family of simply connected flag-transitive tilde geometries ⋮ On the minimal parabolic system related to the Monster simple group ⋮ Toward understanding the microscopic origin of nuclear clustering ⋮ A semiclassical parabolic system related to \(F_4\) ⋮ Some semiclassical parabolic systems of rank \(4\) ⋮ A construction of the Held simple group

Cites Work

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• Minimal parabolic geometries for the sporadic groups
• Extensions of the chamber system of type \(A_ 3\) for \(A_ 7\)
• The simple groups related to \(M_{24}\)
• A characterization of the simple groups \(S_{p}(6,2)\)
• On the Minimal Parabolic System Related to M₂₄

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