AI & Computingarticle2026-09-18

Automorphisms of the Pants Graph of a Nonorientable Surface

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Abstract

We prove that, except in certain low-complexity cases, the automorphism group of the graph of pants decompositions of a nonorientable surface is isomorphic to the mapping class group of that surface.

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View paper (DOI)Open access versionOpenAlexTransformation GroupsPublished 2026-09-18

Authors: Michał Stukow, Błażej Szepietowski

Institutions: University of Gdańsk, Institute of Mathematics