\((p,q,r)\)-generations of the smallest Conway group \(Co_ 3\)

DOI10.1006/jabr.1996.6828zbMath0874.20016OpenAlexW2001228465MaRDI QIDQ1355526

Shahiem Ganief, Jamshid Moori

Publication date: 5 November 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6828

zbMATH Keywords

presentations\((p,q,r)\)-generationssporadic simple Conway group

Mathematics Subject Classification ID

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

Related Items (13)

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 ⋮ On Generators and Representations of the Sporadic Simple Groups ⋮ Unnamed Item ⋮ On the ranks of the alternating group \(A_n\) ⋮ \(nX\)-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

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• On Hurwitz generation and genus actions of sporadic groups
• Sporadic simple groups which are Hurwitz
• On subgroups of \(\cdot 0\). I: Lattice stabilizers
• Matrices and cohomology
• \((p,q,r)\)-generations and \(nX\)-complementary generations of the sporadic groups \(HS\) and \(McL\)
• 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
• (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

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