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THE GnACTION ON En IN THE STABLE CATEGORY
"... Abstract. It is a wellknown fact that, by Brown representability, the extended Morava stabilizer group Gn acts on the LubinTate spectrum En, in ..."
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Abstract. It is a wellknown fact that, by Brown representability, the extended Morava stabilizer group Gn acts on the LubinTate spectrum En, in
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
Comparison of Morava Etheories
, 2009
"... In this note we show that the nth Morava Ecohomology group of a finite spectrum with action of the nth Morava stabilizer group can be recovered from the (n + 1)st Morava Ecohomology group with action of the (n + 1)st Morava stabilizer group. ..."
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In this note we show that the nth Morava Ecohomology group of a finite spectrum with action of the nth Morava stabilizer group can be recovered from the (n + 1)st Morava Ecohomology group with action of the (n + 1)st Morava stabilizer group.
Mathematik Quasiisogenies and Morava stabilizer groups
"... Quasiisogenies and Morava stabilizer groups ..."
THE COHOMOLOGY OF THE MORAVA STABILIZER GROUP S 2 AT THE PRIME 3
"... Abstract. We compute the cohomology of the Morava stabilizer group S2 at the prime 3 by resolving it by a free product Z=3 � Z=3 and analyzing the �relation module." 1. Introduction and Statement of the Main Result The applications of the main theorem of this paper in homotopy theory are du ..."
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Abstract. We compute the cohomology of the Morava stabilizer group S2 at the prime 3 by resolving it by a free product Z=3 � Z=3 and analyzing the �relation module." 1. Introduction and Statement of the Main Result The applications of the main theorem of this paper in homotopy theory
Infinite subgroups of the Morava stabilizer groups. Topology 37
, 1998
"... Abstract. In this note we discuss certain innite subgroups of the Morava stabilizer groups and outline some applications in homotopy theory. 1. Description of the main result and its applications First we discuss a theorem about the structure of the group of proper units of the maximal order in a c ..."
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Abstract. In this note we discuss certain innite subgroups of the Morava stabilizer groups and outline some applications in homotopy theory. 1. Description of the main result and its applications First we discuss a theorem about the structure of the group of proper units of the maximal order in a
The first cohomology group of the generalized Morava stabilizer algebra
 Proc. Amer. Math. Soc
"... Abstract. There exists a plocal spectrum T (m) with BP∗(T (m))= BP∗[t1,...,tm]. Its AdamsNovikov E2term is isomorphic to ExtΓ(m+1)(BP∗,BP∗), where Γ(m +1)=BP∗(BP) / (t1,...,tm) =BP∗[tm+1,tm+2,...]. In this paper we determine the groups Ext 1 Γ(m+1) (BP∗,v−1 n BP∗/In) for all m, n> 0. Its rank ..."
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Abstract. There exists a plocal spectrum T (m) with BP∗(T (m))= BP∗[t1,...,tm]. Its AdamsNovikov E2term is isomorphic to ExtΓ(m+1)(BP∗,BP∗), where Γ(m +1)=BP∗(BP) / (t1,...,tm) =BP∗[tm+1,tm+2,...]. In this paper we determine the groups Ext 1 Γ(m+1) (BP∗,v−1 n BP∗/In) for all m, n> 0. Its rank
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
Morava stabilizer algebras and the localization of Novikov’s E2term
 Duke Mathematical Journal
, 1977
"... The E2term of the AdamsNovikov spectral sequence [2] for a spectrum X localized at the prime p has the form * (BP, M) (0.1)Ext, where BP is the BrownPeterson spectrum [2] at p and M is the "BP,BPcomodule " [1] BP,(X). Pecall [2] that BP, r,(BP) Z()[vl v.,...], Ivl 2p 2. The purpose of ..."
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of this paper is to identify (0.1) with an Ext group over a smaller "Hopf algebra " in case M is v,,local, by which we mean that vn acts on M bijectively. The first theorem in this direction is due to Jack Morava [14]. Morava shows that if M is a vnlocal comodule which is killed by the ideal I. (p
Results 1  10
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213