Generating pairs for the Conway groups Co2 and Co3

DOI10.1515/jgth.1998.016zbMath0906.20020OpenAlexW2023029082MaRDI QIDQ4209843

Shahiem Ganief, Jamshid Moori

Publication date: 15 December 1998

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth.1998.016

zbMATH Keywords

conjugacy classessporadic simple groupsgenerating pairsConway groups\((p,q,r)\)-generationsgroups generated by two elementstriples of generators

Mathematics Subject Classification ID

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

Related Items (11)

\((3, q, r)\)-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 ⋮ \(2\)-generations of the fourth Janko group \(J_4\) ⋮ Generating pairs for the Held group \(He\) ⋮ On the ranks of Conway group \(Co_1\).

Uses Software

• GAP

Cites Work

• Matrices and cohomology
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