Generating pairs for the sporadic group \(Ru\).

DOI10.1007/BF02936188zbMath1063.20013MaRDI QIDQ1432809

Ali Reza Ashrafi, Mohammad-Reza Darafsheh

Publication date: 22 June 2004

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

zbMATH Keywords

triangle groupsRudvalis group\((p,q,r)\)-generated groups

Mathematics Subject Classification ID

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

Related Items (7)

\((3, q, r)\)-generations of Fischer's sporadic group \(\mathrm{Fi}^\prime_{24}\) ⋮ The (p,q,r)-generations of the alternating group A_11 ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(nX\)-complementary generations of the Fischer group \(Fi_{23}\). ⋮ The (p, q, r)-generations of the alternating group A₁₀ ⋮ On a special quotient of the generating graph of a finite group

Uses Software

• GAP

Cites Work

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• On Hurwitz generation and genus actions of sporadic groups
• Sporadic simple groups which are Hurwitz
• \(2\)-generations of the fourth Janko group \(J_4\)
• \((p,q,r)\)-generations of the smallest Conway group \(Co_ 3\)
• \((p,q,r)\)-generations and \(nX\)-complementary generations of the sporadic groups \(HS\) and \(McL\)
• Generating pairs for the Held group \(He\)
• \(nX\)-complementary generations of the sporadic group \(Co_1\).
• Some results on quotients of triangle groups
• Representing M₁₁, M₁₂, M₂₂, and M₂₃on surfaces of least genus
• The Symmetric Genus of Sporadic Groups
• Generating pairs for the Conway groups Co2 and Co3
• 3/2—Generation of the sporadic simple groups
• (2,3,_p)-generations for the fischer group f₂₂

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