Double coset enumeration of symmetrically generated groups

DOI10.1515/jgth.2004.002zbMath1069.20020OpenAlexW1968503885MaRDI QIDQ4819948

Robert T. Curtis, John N. Bray

Publication date: 5 October 2004

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

Full work available at URL: https://doi.org/10.1515/jgth.2004.002

zbMATH Keywords

finite simple groupsdouble coset enumerationgenerating involutionsTodd-Coxeter type algorithms

Mathematics Subject Classification ID

Related Items (7)

Symmetric Generation and Existence of McL : 2, the Automorphism Group of the McLaughlin Group ⋮ Symmetric generation and existence of \(J_3:2\), the automorphism group of the third Janko group. ⋮ Combinatorial method in the coset enumeration of symmetrically generated groups ⋮ The Leech lattice Λ and the Conway group ⋅𝑂 revisited ⋮ Symmetric representation of the elements of the Conway group \(.0\). ⋮ Symmetric presentations of Coxeter groups ⋮ Symmetric presentations for the Fischer groups. II: The sporadic groups.

Uses Software

• GAP
• Magma
• dce

Cites Work

• Unnamed Item

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