Finite, Fiber- and Orientation-preserving Group Actions on Totally Orientable Seifert Manifolds

• Autorzy: Benjamin Peet
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider the finite groups that act fiber- and orientation-preservingly on closed, compact, and orientable Seifert manifolds that fiber over an orientable base space. We establish a method of constructing such group actions and then show that if an action satisfies a condition on the obstruction class of the Seifert manifold, it can be derived from the given construction. The obstruction condition is refined and the general structure of the finite groups that act via the construction is provided.(original abstract)

Słowa kluczowe

EN

Mathematics; Mathematical functions; Mathematical statistics; Algebra

PL

Matematyka; Funkcje matematyczne; Statystyka matematyczna; Algebra

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2019
• Tom: 33
• Strony: 235--265

Twórcy

autor

Benjamin Peet

• St. Martin's University Department of Mathematics

Bibliografia

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Identyfikatory

DOI

10.2478/amsil-2019-0007