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Determination of all Regular Maps of Small Genus

✍ Scribed by Marston Conder; Peter Dobcsányi

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 142 KB
Volume: 81
Category: Article
ISSN: 0095-8956
DOI: 10.1006/jctb.2000.2008

No coin nor oath required. For personal study only.

✦ Synopsis

Complete lists are given of all reflexible orientable regular maps of genus 2 to 15, all non-orientable regular maps of genus 4 to 30, and all (orientable) rotary but chiral (irreflexible) maps of genus 2 to 15 inclusive. On each list the maps are classified according to genus and type (viz [ p, q] where every face is incident with p edges and every vertex is incident with q edges). The complete lists were determined with the help of a parallel program which finds all normal subgroups of low index in a finitely-presented group.

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