Bujalance, E.Etayo Gordejuela, J. JavierMartínez, E.2023-06-192023-06-192014-011139-113810.1007/s13163-013-0121-7https://hdl.handle.net/20.500.14352/33472An important problem in the study of Riemann and Klein surfaces is determining their full automorphism groups. Up to now only very partial results are known, concerning surfaces of low genus or families of surfaces with special properties. This paper deals with non-orientable unbordered Klein surfaces. In this case the solution of the problem is known for surfaces of genus 1 and 2, and for hyperelliptic surfaces. Here we explicitly obtain the full automorphism group of all surfaces of genus 3, 4 and 5.engjournal articlehttp://link.springer.com/article/10.1007/s13163-013-0121-7http://www.springer.com/open access512Non-orientable surfaceKlein surfaceAutomorphism groupSymmetric crosscap numberÁlgebra1201 Álgebra