The Subgroups of M24, or How to Compute the Table of Marks of a Finite Group

DOI10.1080/10586458.1997.10504613zbMath0895.20017OpenAlexW2071739289MaRDI QIDQ4376780

Götz Pfeiffer

Publication date: 24 March 1998

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/229377

zbMATH Keywords

maximal subgroupslattices of subgroupstables of marksnumbers of conjugacy classes of subgroupsconjugacy classes of pairs of generatorsnumbers of generating subsets

Mathematics Subject Classification ID

Related Items (9)

The expected number of random elements to generate a finite group ⋮ Character polynomials and the Möbius function ⋮ Computational aspects of Burnside rings. I: The ring structure ⋮ Broué's Abelian defect group conjecture for the sporadic simple Janko group \(J_4\) revisited. ⋮ On the table of marks of a direct product of finite groups ⋮ Lift of fractional D-brane charge to equivariant Cohomotopy theory ⋮ On the Mark and Markaracter Tables of Finite Groups ⋮ Computing the table of marks of a cyclic extension ⋮ TABLE OF MARKS OF FINITE GROUPS

Uses Software

• GAP

Cites Work

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• A representation of the Mathieu group \(M_{24}\) as a collineation group
• A characterisation of solvable groups
• Intersections of maximal subgroups in simple groups of order less than 10⁶
• A new combinatorial approach to M₂₄
• The maximal subgroups of M₂₄
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• THE EULERIAN FUNCTIONS OF A GROUP
• On the Möbius function of a finite group
• On the Möbius function of a finite group

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