RT Journal Article
T1 Bordered and unbordered Klein surfaces with maximal symmetry
A1 Etayo Gordejuela, J. Javier
A1 Pérez-Chirinos, C.
AB A compact Klein surface with boundary of algebraic genus g≥2 has at most 12(g−1) automorphisms. When a surface attains this bound we say that it has maximal symmetry, and the group of automorphisms is then an M group. In this paper we exhibit four new infinite families of M simple groups, and determine with the aid of a computer the groups PSL(n, q) of order less than 50,000 that are M groups. Using these results, we prove the existence of seven topologically different surfaces of algebraic genus 1013, all of them having maximal symmetry.
PB Elsevier Science B.V. (North-Holland)
SN 0022-4049
YR 1986
FD 1986
LK https://hdl.handle.net/20.500.14352/64649
UL https://hdl.handle.net/20.500.14352/64649
NO Comisión Asesora de Investigación Científica y Técnica
DS Docta Complutense
RD 6 may 2024