Commensurator Subgroups of Surface Groups
Let M be a surface, and let H be a subgroup of π1M. In this paper we study the commensurator subgroup C\\pi_1M(H) of π1M, and we extend a result of L. Paris and D. Rolfsen [7], when H is a geometric subgroup of π1M. 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.
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| Format: | Digital revista |
| Language: | English |
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Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
2010
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| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262010000100001 |
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