Geodesic
Groups of symmetric crosscap number less than or equal to 17
Ars Mathematica Contemporanea, Tome 15 (2018) no. 1, pp. 173-190.

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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  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.
DOI : 10.26493/1855-3974.1341.5a3
Keywords: Symmetric crosscap number, Klein surfaces 
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Adrián Bacelo. Groups of symmetric crosscap number less than or equal to 17. Ars Mathematica Contemporanea, Tome 15 (2018) no. 1, pp. 173-190. doi : 10.26493/1855-3974.1341.5a3. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1341.5a3/

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