Bacelo Polo, Adrián2023-06-172023-06-1720181855-397410.26493/1855-3974.1341.5a3https://hdl.handle.net/20.500.14352/12900Every finite group G acts on some non-orientable unbordered surfaces. The minimal topological genus of those surfaces is called the symmetric crosscap number of G. It is known that 3 is not the symmetric crosscap number of any group but it remains unknown whether there are other such values, called gaps. In this paper we obtain the groups with symmetric crosscap number less than or equal to 17. Also, we obtain six infinite families with symmetric crosscap number of the form 12k + 3.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttps://doi.org/10.26493/1855-3974.1341.5a3open access512512.54Symmetric crosscap numberKlein surfacesÁlgebraGrupos (Matemáticas)1201 Álgebra