RT Journal Article T1 Groups of symmetric crosscap number less than or equal to 17 A1 Bacelo Polo, AdriĆ”n AB Every 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. PB University of Primorska SN 1855-3974 YR 2018 FD 2018 LK https://hdl.handle.net/20.500.14352/12900 UL https://hdl.handle.net/20.500.14352/12900 LA eng NO Ministerio de Ciencia e InnovaciĆ³n NO Universidad Complutense de Madrid DS Docta Complutense RD 12 abr 2025