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Transformation Groups· 2026Q1

Automorphisms of the Pants Graph of a Nonorientable Surface

Michał Stukow, Błażej Szepietowski

Short summary

The automorphism group of the pants graph of a nonorientable surface is isomorphic to its mapping class group, except for specific low-complexity cases.

AI-generated from the title and abstract; the full text is not read.

Key points

  • The automorphism group of the pants graph is isomorphic to the mapping class group.
  • This isomorphism applies to nonorientable surfaces.
  • Exceptions exist for certain low-complexity cases of the surface or its decomposition.

AI-generated from the title and abstract; the full text is not read.

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.

The authors' abstract, as published at the source. Transformation Groups, 2026 · DOI ↗

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Field: Computer Graphics and Computer-Aided Design

Computer Graphics and Computer-Aided DesignComputer Science