2026-06-01T01:17:21Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/654212024-07-11T12:48:40Zcom_20.500.14352_14col_20.500.14352_21

Automorphism groups of Klein surfaces without involutions Bujalance García, Emilio Etayo Gordejuela, José Javier Gamboa Mutuberria, José Manuel Outerelo Dominguez, Enrique 512.54 Fuchsian groups and automorphic functions Discontinuous groups of transformations Grupos (Matemáticas) The authors describe in terms of non-Euclidean crystallographic groups all Klein surfaces whose automorphism group is one of the following: Z/p⊕⋯⊕Z/p , Z/pq , or Z/p 2 , where p and q are distinct odd primes. This includes every nontrivial finite group of order less than 21, so they are able to use their results to find all topological types of Klein surfaces of algebraic genus less than 22 whose automorphism group has odd order bigger than one. This list takes 29 pages! They note that the cyclic groups of orders 13, 17 and 19 do not appear, a result of some interest as these groups certainly act as a subgroup of the automorphism group of a surface of algebraic genus less than 22. Comisión Asesora de Investigación Científica y Técnica Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-21T02:42:31Z 2023-06-21T02:42:31Z 1986 book part https://hdl.handle.net/20.500.14352/65421 XXXX-XXXX metadata only access Universidad Complutense de Madrid