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Morita Equivalences Between Blocks Of Some P-solvable Groups

Posted on:2019-02-15Degree:MasterType:Thesis
Country:ChinaCandidate:X HuangFull Text:PDF
GTID:2370330548471617Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
Let p be a prime number,O be a discrete valuation ring of characteristic 0 with an algebraically closed residue field k of characteristic p.Further we assume that the quotient K of(?)is a big enough for all finite groups below.Assume that two blocks with cyclic inertial quotients of p-solvable groups,one of them with the property that the conjugate action of the normalizer of the defect pointed group on its defect group has only the trivial fix point,then any Morita equivalence between the two blocks is basic.
Keywords/Search Tags:p-solvable groups, block, basic Morita equivalent
PDF Full Text Request
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