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MORAVA MODULES AND THE $K(n)$-LOCAL PICARD GROUP

Part of: Homotopy theory Homology and cohomology theories Spectral sequences

Published online by Cambridge University Press:  06 July 2015

DREW HEARD
DREW HEARD*
Affiliation:
Max Planck Institute for Mathematics, Bonn, Germany email drew.heard@mpim-bonn.mpg.de
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Abstract

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Keywords

chromatic homotopy theoryPicard groupsAdams spectral sequenceMorava stabiliser group

MSC classification

Primary: 55N20: Generalized (extraordinary) homology and cohomology theories
Secondary: 55T15: Adams spectral sequences 55P43: Spectra with additional structure ($E_infty$, $A_infty$, ring spectra, etc.)
Type
Abstracts of Australasian PhD Theses
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 1 , August 2015 , pp. 171 - 172
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

Devinatz, E. S. and Hopkins, M. J., ‘Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups’, Topology 43(1) (2004), 1–47.CrossRefGoogle Scholar
Goerss, P., Henn, H.-W., Mahowald, M. and Rezk, C., ‘A resolution of the K (2)-local sphere at the prime 3’, Ann. of Math. (2) 162(2) (2005), 777–822.CrossRefGoogle Scholar
Hovey, M. and Strickland, N. P., ‘Morava K-theories and localisation’, Mem. Amer. Math. Soc. 139(666) (1999), viii+100.Google Scholar