Centralisers of Involutions in Black Box Groups

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dc.creatorBorovik, Alexandre V.
dc.date2001-10-22
dc.date.accessioned2026-07-07T04:43:59Z
dc.date.available2026-07-07T04:43:59Z
dc.descriptionWe discuss basic structural properties of finite black box groups. A special emphasis is made on the use of centralisers of involutions in probabilistic recognition of black box groups. In particular, we suggest an algorithm for finding the $p$-core of a black box group of odd characteristic. This special role of involutions suggest that the theory of black box groups reproduces, at a non-deterministic level, some important features of the classification of finite simple groups.
dc.description13 pp, LaTeX2e, requires packages latexsym, amssymb
dc.identifierhttps://arxiv.org/abs/math/0110233
dc.identifierhttp://arxiv.org/abs/math/0110233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62458
dc.subjectGroup Theory
dc.subjectProbability
dc.subject20P05
dc.titleCentralisers of Involutions in Black Box Groups
dc.typetext

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