Regular maps on non-orientable surfaces

Marston Conder; Brent Everitt

doi:10.1007/BF01267644

Regular maps on non-orientable surfaces

Marston Conder, Brent Everitt

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

It is well known that regular maps exist on the projective plane but not on the Klein bottle, nor the non-orientable surface of genus 3. In this paper several infinite families of regular maps are constructed to show that such maps exist on non-orientable surfaces of over 77 per cent of all possible genera.

Original language	Undefined/Unknown
Pages (from-to)	209-219
Number of pages	11
Journal	Geometriae Dedicata
Volume	56
DOIs	https://doi.org/10.1007/BF01267644
Publication status	Published - 1995

Keywords

Algebra, Pure Mathematics

Access to Document

10.1007/BF01267644

http://dx.doi.org/10.1007/BF01267644

Cite this

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title = "Regular maps on non-orientable surfaces",

abstract = "It is well known that regular maps exist on the projective plane but not on the Klein bottle, nor the non-orientable surface of genus 3. In this paper several infinite families of regular maps are constructed to show that such maps exist on non-orientable surfaces of over 77 per cent of all possible genera.",

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author = "Marston Conder and Brent Everitt",

year = "1995",

doi = "10.1007/BF01267644",

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pages = "209--219",

journal = "Geometriae Dedicata",

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AB - It is well known that regular maps exist on the projective plane but not on the Klein bottle, nor the non-orientable surface of genus 3. In this paper several infinite families of regular maps are constructed to show that such maps exist on non-orientable surfaces of over 77 per cent of all possible genera.

KW - Algebra, Pure Mathematics

U2 - 10.1007/BF01267644

DO - 10.1007/BF01267644

M3 - Article

VL - 56

SP - 209

EP - 219

JO - Geometriae Dedicata

JF - Geometriae Dedicata

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