The Full Automorphism Group of a Cyclic $p$-gonal Surface

dc.creatorWootton, Aaron
dc.date2006-02-10
dc.date2007-05-03
dc.date.accessioned2026-07-07T07:59:12Z
dc.date.available2026-07-07T07:59:12Z
dc.descriptionIf $p$ is prime, a compact Riemann surface $X$ of genus $g\geq 2$ is called cyclic $p$-gonal if it admits a cyclic group of automorphisms $C_{p}$ of order $p$ such that the quotient space $X/C_{p}$ has genus 0. If in addition $C_{p}$ is not normal in the full automorphism $G$, then we call $G$ a non-normal cyclic $p$-gonal group. In the following we classify all non-normal $p$-gonal groups.
dc.description18 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0602205
dc.identifierhttp://arxiv.org/abs/math/0602205
dc.identifierJournal of Algebra, Volume 312, Issue 1, 1 June 2007, Pages 377-396
dc.identifierdoi:10.1016/j.jalgebra.2007.01.018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128280
dc.subjectAlgebraic Geometry
dc.subjectGroup Theory
dc.subject14J50
dc.titleThe Full Automorphism Group of a Cyclic $p$-gonal Surface
dc.typetext

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