Title page for ETD etd-08142006-003016


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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