Cycle indices for the finite classical groups

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dc.creatorFulman, Jason
dc.date1997-12-09
dc.date.accessioned2026-07-07T05:23:24Z
dc.date.available2026-07-07T05:23:24Z
dc.descriptionThis paper defines and develops cycle indices for the finite classical groups. These tools are then applied to study properties of a random matrix chosen uniformly from one of these groups. Properties studied by this technique will include semisimplicity, regularity, regular semisimplicity, the characteristic polynomial, number of Jordan blocks, and average order of a matrix.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/9712239
dc.identifierhttp://arxiv.org/abs/math/9712239
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76419
dc.subjectGroup Theory
dc.subjectCombinatorics
dc.subject20G40;05E15
dc.titleCycle indices for the finite classical groups
dc.typetext

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