A generating function of the number of homomorphisms from a surface group into a finite group

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dc.creatorMulase, Motohico
dc.creatorYu, Josephine T.
dc.date2002-09-02
dc.date2002-11-07
dc.date.accessioned2026-07-07T04:50:31Z
dc.date.available2026-07-07T04:50:31Z
dc.descriptionA generating function of the number of homomorphisms from the fundamental group of a compact oriented or non-orientable surface without boundary into a finite group is obtained in terms of an integral over a real group algebra. We calculate the number of homomorphisms using the decomposition of the group algebra into irreducible factors. This gives a new proof of the classical formulas of Frobenius, Schur, and Mednykh.
dc.description12 pages, 1 figure. Prepared in AMS-LaTeX
dc.identifierhttps://arxiv.org/abs/math/0209008
dc.identifierhttp://arxiv.org/abs/math/0209008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64821
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titleA generating function of the number of homomorphisms from a surface group into a finite group
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