Sporadic simple groups which are Hurwitz

DOI10.1016/0021-8693(91)90115-OzbMath0736.20012MaRDI QIDQ1180657

Andrew J. Woldar

Publication date: 27 June 1992

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

zbMATH Keywords

maximal subgroupssporadic simple groupsHurwitz groups\(Fi_{22}\)\(J_ 4\)

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Maximal subgroups (20E28) Generators, relations, and presentations of groups (20F05)

Related Items (19)

\((p,q,r)\)-generations of the smallest Conway group \(Co_ 3\) ⋮ \((p,q,r)\)-generations and \(nX\)-complementary generations of the sporadic groups \(HS\) and \(McL\) ⋮ Hurwitz generation in groups of types \(F_4\), \(E_6\), \(^2E_6\), \(E_7\) and \(E_8\) ⋮ Hurwitz groups: A brief survey ⋮ (2,3,_p)-generations for the fischer group f₂₂ ⋮ \((3, q, r)\)-generations of Fischer's sporadic group \(\mathrm{Fi}^\prime_{24}\) ⋮ (2,3,t)-Generations for the janko group j₃ ⋮ Simple Hurwitz groups and eta invariant ⋮ The (p,q,r)-generations of the alternating group A_11 ⋮ rX-Complementary generations of the janko groups j₁J₂And j₃ ⋮ Generating pairs for the sporadic group \(Ru\). ⋮ Unnamed Item ⋮ An update on Hurwitz groups ⋮ Hurwitz Groups and Hurwitz Generation ⋮ \(nX\)-complementary generations of the Fischer group \(Fi_{23}\). ⋮ The Symmetric Genus of Sporadic Groups ⋮ On a special quotient of the generating graph of a finite group ⋮ \(2\)-generations of the fourth Janko group \(J_4\) ⋮ Generating pairs for the Held group \(He\)

Cites Work

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• On Hurwitz generation and genus actions of sporadic groups
• A new finite simple group of order 86,775,571,046,077,562,880 which possesses \(M_{24}\) and the full covering group of \(M_{22}\) as subgroups
• On maximal subgroups of the Fischer group Fi₂₂
• Representing M₁₁, M₁₂, M₂₂, and M₂₃on surfaces of least genus
• The Maximal Subgroups of J ₄
• The maximal subgroups of Fi22
• The Maximal Subgroups of the Fischer Group Fi ₂₃

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