\((p,q,r)\)-generations and \(nX\)-complementary generations of the sporadic groups \(HS\) and \(McL\)

DOI10.1006/JABR.1996.6829zbMath0874.20017OpenAlexW2068415286MaRDI QIDQ1355527

Jamshid Moori, Shahiem Ganief

Publication date: 16 July 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6829

zbMATH Keywords

presentationsHigman-Sims groupMcLaughlin group\((p,q,r)\)-generations

Mathematics Subject Classification ID

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

Related Items (16)

A projective two-weight code related to the simple group \(\mathrm{Co}_1\) of Conway ⋮ \((p,q,r)\)-generations of the smallest Conway group \(Co_ 3\) ⋮ On the Exact Spread of Sporadic Simple Groups ⋮ \((3, q, r)\)-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 ⋮ On the ranks of the alternating group \(A_n\) ⋮ The conjugacy class ranks of $M_{24}$ ⋮ On the ranks of Fischer group $Fi_{24}^{,prime}$ and the Baby Monster group $mathbb{B}$ ⋮ \(nX\)-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 ⋮ \(2\)-generations of the fourth Janko group \(J_4\) ⋮ Generating pairs for the Held group \(He\)

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Hurwitz generation and genus actions of sporadic groups
• Sporadic simple groups which are Hurwitz
• Matrices and cohomology
• A theorem on permutations
• The maximal subgroups of Conway's group C\(_3\) and McLaughlin's group
• Some results on quotients of triangle groups
• Representing M₁₁, M₁₂, M₂₂, and M₂₃on surfaces of least genus
• The Symmetric Genus of Sporadic Groups
• 3/2—Generation of the sporadic simple groups
• (2,3,_p)-generations for the fischer group f₂₂
• (2,3,t)-Generations for the janko group j₃
• rX-Complementary generations of the janko groups j₁J₂And j₃
• The subgroup structure of the Higman-Sims simple group

This page was built for publication: \((p,q,r)\)-generations and \(nX\)-complementary generations of the sporadic groups \(HS\) and \(McL\)