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Virginia Polytechnic Institute and State University
Surgery spaces of crystallographic groups
Abstract
dc:description.abstractLet Γ be a crystallographic group acting on the n-dimensional Euclidean space. In this dissertation, the surgery obstruction groups of Γ are computed in terms of certain sheaf homology groups defined by F. Quinn, when Γ has no 2-torsion. The main theorem is : Theorem : If a crystallographic group Γ has no 2-torsion, there is a natural isomorphism a : H<sub>*</sub>(R<sup>n</sup> /Γ; L(p)) → L<sub>*</sub><sup>-∞</sup>(Γ).
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- doctoral
- Discipline thesis:degree_discipline
- Mathematics
- Department dc:contributor.department
- Mathematics
- Grantor dc:publisher
- Virginia Polytechnic Institute and State University
- Year dc:date.issued
- 1982
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Yamasaki, Masayuki
- Chair dc:contributor.committeechair
-
- Quinn, Frank
- Committee members dc:contributor.committeemember
-
- Arnold, Jesse T.
- McCoy, Robert A.
- Olin, Robert F.
- Snider, R.L.
Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
- Language dc:language.iso
- en_US
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/10919/74656
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/74656