# Orientably-regular maps on twisted linear fractional groups

## TL;DR

This paper enumerates orientably-regular maps with automorphism groups isomorphic to twisted linear fractional groups, expanding understanding of symmetries in algebraic and geometric structures.

## Contribution

It provides a comprehensive enumeration of orientably-regular maps with automorphism group isomorphic to twisted linear fractional groups for all odd prime powers.

## Key findings

- Complete enumeration for all odd prime powers q
- Identification of automorphism group structures
- Extension of known classifications in algebraic topology

## Abstract

We present an enumeration of orientably-regular maps with automorphism group isomorphic to the twisted linear fractional group $M(q^2)$ for any odd prime power $q$.