Canonical Symplectic Representations for Prime Order Conjugacy Classes of the Mapping-class Group

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dc.creatorGilman, Jane
dc.date2007-01-11
dc.date2007-06-17
dc.date.accessioned2026-07-07T08:10:21Z
dc.date.available2026-07-07T08:10:21Z
dc.descriptionIn this paper we find a unique normal form for the symplectic matrix representation of the conjugacy class of a prime order element of the mapping-class group. We find a set of generators for the fundamental group of a surface with a conformal automorphism of prime order which reflects the action the automorphism in an optimal way. This is called an {\sl adapted} homotopy basis and there is a corresponding {\sl adapted presentation}. We also give a necessary and sufficient condition for a prime order symplectic matrix to be the image of a prime order element in the mapping-class group.
dc.description24 pages; change in title; typos corrected; some theorems revised; computational complexity added; final version of paper to appear in Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/0701330
dc.identifierhttp://arxiv.org/abs/math/0701330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131798
dc.subjectGeometric Topology
dc.subjectGroup Theory
dc.subject14H15, 30F40, 32G15, 14H55,20H10,30F10;57M60
dc.titleCanonical Symplectic Representations for Prime Order Conjugacy Classes of the Mapping-class Group
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