Continuous homotopy fixed point spectra: Finiteness properties and computations
by Winfree, Troy, Ph.D., UNIVERSITY OF WASHINGTON, 2009, 53 pages; 3377079

Abstract:

Given a closed subgroup G of the Morava stabilizer group Sn, let [special characters omitted] denote the continuous homotopy fixed point spectrum of Devinatz and Hopkins. We examine the case [special characters omitted] via computations in the Bockstein spectral sequence [special characters omitted]. At the n = 3 level we compute all of the zero-line differentials and prove two consequences: first, that a proposed finiteness result which holds at the n = 2 level cannot be extended to higher n; second, letting V(1) denote a finite spectrum with [special characters omitted], that if p > 3 then [special characters omitted] is of essentially finite rank. We also compute all of the zero-line differentials when n > 3 and k = 0.

 
AdviserEthan S. Devinatz
SchoolUNIVERSITY OF WASHINGTON
SourceDAI/B 70-09, p. , Oct 2009
Source TypeDissertation
SubjectsMathematics
Publication Number3377079
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