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Conder, Marston D. E. and Širáň, Jozef
(2020).
DOI: https://doi.org/10.1016/j.jalgebra.2019.12.008
Abstract
Breda, Nedela and Širáň (2005) classified the regular maps on surfaces of Euler characteristic for every prime
. This classification relies on three key theorems, each proved using the highly non-trivial characterisation of finite groups with dihedral Sylow 2-subgroups, due to D. Gorenstein and J.H. Walter (1965). Here we give new proofs of those three facts (and hence the entire classification) using somewhat more elementary group theory, using without referring to the Gorenstein-Walter theorem.
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About
- Item ORO ID
- 68206
- Item Type
- Journal Item
- ISSN
- 0021-8693
- Keywords
- Regular map; Automorphism group; Non-orientable surface; Euler characteristic.
- Academic Unit or School
-
Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM) - Depositing User
- Jozef Širáň