RT Journal Article
T1 Groups Of Automorphisms Of Hyperelliptic Klein Surfaces Of Genus 3
A1 Bujalance García, Emilio
A1 Gamboa Mutuberria, José Manuel
A1 Etayo Gordejuela, José Javier
AB The order of a group of automorphisms of a compact Klein surface of genus 3 with boundary does not exceed 24 [see C. L. May, Pac. J. Math. 59, 199-210 (1975; Zbl 0422.30037)]. These groups of automorphisms are quotients of NEC groups of isometries of the hyperbolic plane since the Klein surface may be represented as the quotient of the hyperbolic plane by an NEC group. Being hyperelliptic places certain restrictions on the possible signatures of the corresponding NEC groups. By an exhaustive search starting with the finite groups of order less than 24 and using a variety of structural results on NEC groups (several proved in earlier papers by one or more of these authors) those finite groups which can occur as the full group of automorphisms of a hyperelliptic Klein surface of genus 3 are precisely determined. The fullness is exhibited by a simple argument on dimensions of Teichm¨uller spaces.
PB Michigan Mathematical Journal
SN 0026-2285
YR 1986
FD 1986
LK https://hdl.handle.net/20.500.14352/64625
UL https://hdl.handle.net/20.500.14352/64625
LA eng
NO Bujalance García, E., Gamboa Mutuberria, J. M. & Etayo Gordejuela, J. J. «Groups of automorphisms of hyperelliptic Klein surfaces of genus three.» Michigan Mathematical Journal, vol. 33, n.o 1, enero de 1986. DOI.org (Crossref), https://doi.org/10.1307/mmj/1029003290.
DS Docta Complutense
RD 16 abr 2025