Generating pairs for the Held group \(He\)

DOI10.1007/BF02936215zbMath1010.20008OpenAlexW2074495943MaRDI QIDQ1847598

Ali Reza Ashrafi

Publication date: 10 December 2002

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

Full work available at URL: https://doi.org/10.1007/bf02936215

zbMATH Keywords

sporadic groups\((p,q,r)\)-generationsimple Held group

Mathematics Subject Classification ID

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

Related Items (8)

\((3, q, r)\)-generations of Fischer's sporadic group \(\mathrm{Fi}^\prime_{24}\) ⋮ The (p,q,r)-generations of the alternating group A_11 ⋮ Generating pairs for the sporadic group \(Ru\). ⋮ 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

• 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 \(McL\)
• Some results on quotients of triangle groups
• The Symmetric Genus of Sporadic Groups
• Generating pairs for the Conway groups Co2 and Co3
• (2,3,_p)-generations for the fischer group f₂₂
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