Orbifold Euler characteristics and the number of commuting n-tuples in symmetric groups

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dc.creatorBryan, Jim
dc.creatorFulman, Jason
dc.date1997-12-13
dc.date.accessioned2026-07-07T05:23:25Z
dc.date.available2026-07-07T05:23:25Z
dc.descriptionGenerating functions for the number of commuting m-tuples in the symmetric groups are obtained. We define a natural sequence of ``orbifold Euler characteristics'' for a finite group G acting on a manifold X. Our definition generalizes the ordinary Euler characteristic of X/G and the string-theoretic orbifold Euler characteristic. Our formulae for commuting m-tuples underlie formulas that generalize the results of Macdonald and Hirzebruch-Hofer concerning the ordinary and string-theoretic Euler characteristics of symmetric products.
dc.identifierhttps://arxiv.org/abs/math/9712248
dc.identifierhttp://arxiv.org/abs/math/9712248
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76427
dc.subjectCombinatorics
dc.subjectAlgebraic Topology
dc.titleOrbifold Euler characteristics and the number of commuting n-tuples in symmetric groups
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