We give the maximum orders of finite group actions on Euclidean 3-space which leave invariant an embedded compact bordered surface (orientable or non-orientable), in terms of the algebraic genus of the surface. We also identify the topological types of the bordered surfaces realizing the maximum order, and find simple representative embeddings for such surfaces.

Embedding compact surfaces into the 3-dimensional Euclidean space with maximum symmetry

ZIMMERMANN Bruno
2017-01-01

Abstract

We give the maximum orders of finite group actions on Euclidean 3-space which leave invariant an embedded compact bordered surface (orientable or non-orientable), in terms of the algebraic genus of the surface. We also identify the topological types of the bordered surfaces realizing the maximum order, and find simple representative embeddings for such surfaces.
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https://link.springer.com/article/10.1007/s11425-017-9078-0
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2921128
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