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Relative projectivity, relative cohomology and ideals in the cohomology rings

Posted on:1996-02-15Degree:Ph.DType:Dissertation
University:University of GeorgiaCandidate:Peng, ChuangFull Text:PDF
GTID:1460390014987851Subject:Mathematics
Abstract/Summary:
In this paper we study the projectivity relative to a module over the group algebra of finite groups. This is a generalization of the projectivity relative to a subgroup or a set of subgroups of the group. We establish some properties of this relative projectivity, and give an equivalent condition with respect to this relative projectivity and apply to modules determined by elements in the cohomology ring H...
Keywords/Search Tags:Relative, Projectivity, Cohomology
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