The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 6

Bacelo, Adrián

doi:10.1007/s13398-017-0387-6

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2017

2024

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Cited by 3 publications

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“…Another feature of this study is to obtain the groups which are the full automorphism group of a surface of a given genus. This was already done for g ≤ 5 in [8], for g = 6 in [4] and for g = 7 in [5].…”

Section: Preliminariesmentioning

confidence: 99%

Groups of symmetric crosscap number less than or equal to 17

Bacelo

2018

Ars Math. Contemp.

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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 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.

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Section: Preliminariesmentioning

confidence: 99%