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Quasiisogenies and Morava stabilizer groups
, 2006
"... For every prime p and integer n � 3 we explicitly construct an abelian variety A/Fpn of dimension n such that for a suitable prime l the group of quasiisogenies of A/Fpn of lpower degree is canonically a dense subgroup of the nth Morava stabilizer group at p. We also give a variant of this result ..."
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For every prime p and integer n � 3 we explicitly construct an abelian variety A/Fpn of dimension n such that for a suitable prime l the group of quasiisogenies of A/Fpn of lpower degree is canonically a dense subgroup of the nth Morava stabilizer group at p. We also give a variant
EVERY K(n)LOCAL SPECTRUM IS THE HOMOTOPY FIXED POINTS OF ITS MORAVA MODULE
"... Abstract. Let n ≥ 1 and let p be any prime. Also, let En be the LubinTate spectrum, Gn the extended Morava stabilizer group, and K(n) the nth Morava Ktheory spectrum. Then work of Devinatz and Hopkins and some results due to Behrens and the first author of this note, show that if X is a finite spe ..."
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Abstract. Let n ≥ 1 and let p be any prime. Also, let En be the LubinTate spectrum, Gn the extended Morava stabilizer group, and K(n) the nth Morava Ktheory spectrum. Then work of Devinatz and Hopkins and some results due to Behrens and the first author of this note, show that if X is a finite
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"... Université de Strasbourg Doctoral Thesis Finite subgroups of extended Morava stabilizer groups by Cédric Bujard Defended on June 4, 2012. Under the supervision of Prof. HansWerner Henn. Key words: Formal group laws of finite height, Morava stabilizer groups, cohomology of groups, division algebras ..."
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Université de Strasbourg Doctoral Thesis Finite subgroups of extended Morava stabilizer groups by Cédric Bujard Defended on June 4, 2012. Under the supervision of Prof. HansWerner Henn. Key words: Formal group laws of finite height, Morava stabilizer groups, cohomology of groups, division algebras
CONTINUOUS HOMOTOPY FIXED POINTS FOR LUBINTATE SPECTRA
"... Abstract. We construct a stable model structure on profinite spectra with a continuous action of an arbitrary profinite group. This provides a natural framework for a new and conceptually simplified construction of continuous homotopy fixed point spectra and of continuous homotopy fixed point spectr ..."
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Cited by 6 (2 self)
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spectral sequences for LubinTate spectra under the action of the extended Morava stabilizer group. 1.
PROFINITE GSPECTRA
 HOMOLOGY, HOMOTOPY AND APPLICATIONS, VOL. 15(1), 2013, PP.151–189
, 2013
"... We construct a stable model structure on profinite spectra with a continuous action of an arbitrary profinite group. The motivation is to provide a natural framework in a subsequent paper for a new and conceptually simplified construction of continuous homotopy fixed point spectra and of continuous ..."
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homotopy fixed point spectral sequences for LubinTate spectra under the action of the extended Morava stabilizer group.
THE HOMOTOPY ORBIT SPECTRUM FOR PROFINITE GROUPS
"... Abstract. Let G be a profinite group. We define an S[[G]]module to be a Gspectrum X that satisfies certain conditions, and, given an S[[G]]module X, we define the homotopy orbit spectrum XhG. When G is countably based and X satisfies a certain finiteness condition, we construct a homotopy orbit s ..."
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spectral sequence whose E2term is the continuous homology of G with coefficients in the graded profinite bZ[[G]]module pi∗(X). Let Gn be the extended Morava stabilizer group and let En be the LubinTate spectrum. As an application of our theory, we show that the function spectrum F (En, LK(n)(S 0
Torsors under smooth groupschemes and Morava stabilizer groups
"... For every prime p and integer n � 3 we explicitly construct an abelian variety A/Fpn of dimension n such that for a suitable prime l the group of quasiisogenies of A/Fpn of lpower degree is canonically a dense subgroup of the nth Morava stabilizer group at p. We also give a variant of this resu ..."
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For every prime p and integer n � 3 we explicitly construct an abelian variety A/Fpn of dimension n such that for a suitable prime l the group of quasiisogenies of A/Fpn of lpower degree is canonically a dense subgroup of the nth Morava stabilizer group at p. We also give a variant
The homotopy fixed point spectra of profinite Galois extensions
"... Let E be a klocal profinite GGalois extension of an E∞ring spectrum A (in the sense of Rognes). We show that E may be regarded as producing a discrete Gspectrum. Also, we prove that if E is a profaithful klocal profinite extension which satisfies certain extra conditions, then the forward dir ..."
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Cited by 22 (15 self)
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that the homotopy fixed points defined by Devinatz and Hopkins for closed subgroups of the extended Morava stabilizer group agree with those defined with respect to a continuous action and in terms of the derived functor of fixed points.
A DESCENT SPECTRAL SEQUENCE FOR ARBITRARY K(n)LOCAL SPECTRA WITH EXPLICIT E2TERM
"... Abstract. Let n be any positive integer and p any prime. Also, let X be any spectrum and let K(n) denote the nth Morava Ktheory spectrum. Then we construct a descent spectral sequence with abutment π∗(LK(n)(X)) and E2term equal to the continuous cohomology of Gn, the extended Morava stabilizer gro ..."
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Abstract. Let n be any positive integer and p any prime. Also, let X be any spectrum and let K(n) denote the nth Morava Ktheory spectrum. Then we construct a descent spectral sequence with abutment π∗(LK(n)(X)) and E2term equal to the continuous cohomology of Gn, the extended Morava stabilizer
Results 1  10
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695