| Type of Document |
Dissertation |
| Author |
Grinshpon, Mark S.
|
| Author's Email Address |
grinshpon@vt.edu |
| URN |
etd-08142006-003016 |
| Title |
Universal Localization and Group Cohomology |
| Degree |
PhD |
| Department |
Mathematics |
| Advisory Committee |
| Advisor Name |
Title |
| Linnell, Peter A. |
Committee Chair |
| Floyd, William J. |
Committee Member |
| Haskell, Peter E. |
Committee Member |
| Klaus, Martin |
Committee Member |
| Parry, Charles J. |
Committee Member |
|
| Keywords |
- Rational Closure
- Division Closure
- Group Cohomology
- Universal Localization
|
| Date of Defense |
2006-08-10 |
| Availability |
unrestricted |
Abstract
Two results are obtained in this work. First, we prove that for a commutative ring embedded in a larger ring, which is not necessarily commutative, its division and rational closures coincide.
Second, for an infinite discrete group G, we investigate group cohomology and homology with coefficients in lp(G). We prove that if G is of type FPn, then all its homology and cohomology groups up to n are either zero or infinite dimensional. This generalizes one of the results obtained by Bekka and Valette
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| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
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| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
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thesis.pdf |
247.00 Kb |
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