A note on computing involution centralizers.

DOI10.1016/j.jsc.2013.01.002zbMath1277.20061OpenAlexW2118963603MaRDI QIDQ386980

John J. Ballantyne, Peter J. Rowley

Publication date: 11 December 2013

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2013.01.002

zbMATH Keywords

Magmacentralizers of involutionsblack-box groupslocal fusion graphs

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (2)

Odd order products of conjugate involutions in linear groups over \(\mathrm{GF}(2^a)\) ⋮ Local fusion graphs and sporadic simple groups.

Cites Work

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• Recognising simplicity of black-box groups by constructing involutions and their centralisers.
• On groups of even order
• An improved method for generating the centralizer of an involution
• Local fusion graphs and sporadic simple groups.
• Centralizers of real elements in finite groups.
• Local fusion graphs for symmetric groups
• On local fusion graphs of finite Coxeter groups
• Biased tadpoles
• Normalizers of 2-subgroups in black-box groups
• Probabilistic generation of finite classical groups in odd characteristic by involutions
• Constructive membership in black-box groups
• Generating random elements of a finite group
• INVOLUTION GRAPHS WHERE THE PRODUCT OF TWO ADJACENT VERTICES HAS ORDER THREE

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