Automorphisms of parabolic Inoue surfaces

TL;DR

This paper explicitly determines the automorphism group structure of parabolic Inoue surfaces and describes their quotients by typical cyclic subgroups, contributing to the understanding of their symmetry properties.

Contribution

It provides a detailed description of the automorphism groups and quotient structures of parabolic Inoue surfaces, a new insight into their geometric symmetries.

Findings

Explicit automorphism group structure determined

Quotients by cyclic subgroups described

Enhanced understanding of surface symmetries

Abstract

We determine explicitly the structure of the automorphism group of a parabolic Inoue surface. We also describe the quotients of the surface by typical cyclic subgroups of the automorphism group.