Cellular automorphisms and self-duality

Author:

Abrams Lowell,Slilaty Daniel

Abstract

We catalog up to a type of reducibility all cellular automorphisms of the sphere, projective plane, torus, Klein bottle, and three-crosscaps (Dyck’s) surface. We also show how one can obtain all self-dual embeddings in a surface S S given a catalog of all irreducible cellular automorphisms in S S .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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