A note on involution centralizers in black box groups

Veronica Kelsey, Peter Rowley

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Here we note a minor variation on the method in [J. N. Bray, An improved method for generating the centralizer of an involution, Arch. Math. (Basel) 74 2000, 4, 241–245] which enables calculations of CH(t) for H a subgroup of a black box group G and t an involution of G. We then give some applications of this, the first to investigate the action of the Lyons sporadic group via conjugation on its involutions, a number of calculations in E6(2) and E8(2), then finally to carry out some calculations in GL670(2).
Original languageEnglish
JournalJournal of Group Theory
Issue number0
Early online date20 Nov 2019
Publication statusPublished - 2019


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