%0 Journal Article
%T Commensurator Subgroups of Surface Groups
%A OCAMPO URIBE
%A OSCAR EDUARDO
%J Revista Colombiana de Matem¨¢ticas
%D 2010
%I Universidad Nacional de Colombia and Sociedad Colombiana de Matem¨¢ticas
%X let m be a surface, and let h be a subgroup of ¦Ð1m. in this paper we study the commensurator subgroup c\\pi_1m(h) of ¦Ð1m, and we extend a result of l. paris and d. rolfsen [7], when h is a geometric subgroup of ¦Ð1m. we also give an application of commensurator subgroups to group representation theory. finally, by considering certain closed curves on the klein bottle, we apply a classification of these curves to self-intersection nielsen theory.
%K commensurator
%K fundamental group
%K surface.
%U http://www.scielo.org.co/scielo.php?script=sci_abstract&pid=S0034-74262010000100001&lng=en&nrm=iso&tlng=en