RT Book, Section
T1 On the minimum genus problem on bordered Klein surfaces
A1 Martínez García, Ernesto
A1 Etayo Gordejuela, José Javier
AB The minimum genus problem consists in determining the minimum algebraic genus of a surface on which a viven group G acts. For cyclic groups G this problem on bordered Klein surfaces was solved in 1989. The next step is to fix the number of boundary components of the surface and to obtain the minimum algebraic genus, and so the minimum topological genus. It was achieved for cyclic groups of prime and prime-power order in the nineties. In this work the corresponding results for cyclic groups of order N=pq, where p and q are different odd primes, is obtained. There appear different results depending on the orientability of the surface. Finally we obtain general results when the number of boundary components is small, which are valid for any odd N.
PB UCM
SN 978-84-695-4421-1
YR 2012
FD 2012
LK https://hdl.handle.net/20.500.14352/45363
UL https://hdl.handle.net/20.500.14352/45363
LA eng
NO Ministerio de Ciencia, Innovación y Universidades (España)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 9 abr 2025