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Masters Theses
Date of Award
5-2003
Degree Type
Thesis
Degree Name
Master of Science
Major
Mathematics
Major Professor
Conrad Plaut
Abstract
The purpose of this investigation is to consider the group structure of Schreier groups for both general topological groups and euclidean space in particular where U is taken to have a finite number of components. Theorem 1 exibits a homomorphism from the Schreier group into the direct product of the underlying topological group and a specified finitely presented group with the components of U as generators. Theorem 2 shows that in euclidean space the given homomorphism is an isomorphism. Examples are given which illustrate the process laid out in Theorem 1.
Recommended Citation
Phillippi, Raymond David, "Schreier groups and symmetric neighborhoods with a finite number of open components. " Master's Thesis, University of Tennessee, 2003.
https://trace.tennessee.edu/utk_gradthes/5278