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Rice University

Residually finite properties of covering spaces

Abstract

dc:description.abstract

The purpose of this thesis is trying to construct some negative results for Griffith’s theorem 1 in (3) by showing theorem 1.1 and a counter-example in Section 2. I also give some general positive results for this work in Section 3, to go with the negative ones. It is well known that Fuchsian groups are residually finite. Section 4 provides some topological construction of Fuchsian groups which yield a simple proof of their residual finiteness.

Degree

thesis:*
Name thesis:degree_name
Master of Arts
Level thesis:degree_level
Masters
Discipline thesis:degree_discipline
Natural Sciences
Grantor
Rice University
Year dc:date.issued
1972

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Chow, Yen-Whei
Advisor dc:contributor.advisor
  • Curtis, Morton L.

Rights

dc:rights
Statement dc:rights
  • Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.
Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
https://hdl.handle.net/1911/90090
OAI identifier oai:identifier
oai:repository.rice.edu:1911/90090

Chain of custody

source
Harvested from
Rice University
Base URL
repository.rice.edu/server/oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
related terms
citation

Chow, Yen-Whei. Residually finite properties of covering spaces. Masters thesis, Rice University, 1972. https://hdl.handle.net/1911/90090