ON THE RANKS OF THE CONWAY GROUPS Co2 AND Co3

DOI10.1142/S0219498805001393zbMath1082.20003OpenAlexW1986319455MaRDI QIDQ3370728

Faryad Ali, Mohammed Ali Faya Ibrahim

Publication date: 8 February 2006

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498805001393

zbMATH Keywords

conjugacy classessporadic groupsgeneratorsranksConway groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Simple groups: sporadic groups (20D08) Generators, relations, and presentations of groups (20F05)

Related Items

On the ranks of \(O'N\) and \(Ly\). ⋮ ON THE RANKS OF FISCHER GROUP Fi23 ⋮ On the ranks of the alternating group \(A_n\) ⋮ On the ranks of Fischer group $Fi_{24}^{,prime}$ and the Baby Monster group $mathbb{B}$ ⋮ On the ranks of Conway group \(Co_1\).

Uses Software

• GAP

Cites Work

• The maximal subgroups of Conway's group. 2
• Matrices and cohomology
• Generating sets for \(F_{22}\) and its automorphism group
• Standard generators for sporadic simple groups
• Classical groups, probabilistic methods, and the \((2,3)\)-generation problem
• The maximal subgroups of Conway's group C\(_3\) and McLaughlin's group
• Representing M₁₁, M₁₂, M₂₂, and M₂₃on surfaces of least genus
• SUBGROUPS OF 3-TRANSPOSITION GROUPS GENERATED BY FOUR 3-TRANSPOSITIONS
• Presentations of some 3-transposition groups
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