Enumeration of regular maps of given type on twisted linear fractional groups

Mačaj, Martin; Pavlíková, Soňa and Širáň, Jozef (2023). Enumeration of regular maps of given type on twisted linear fractional groups. Bulletin of the London Mathematical Society, 55(4) pp. 1668–1684.

DOI: https://doi.org/10.1112/blms.12811

Abstract

We enumerate orientably regular maps of any given type with automorphism group isomorphic to a twisted linear fractional group; these groups form the ‘other’ family in Zassenhaus' classification of finite sharply 3-transitive groups.

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