Abstract. It is a well-known fact that, by Brown representability, the ex-tended Morava stabilizer group Gn acts on the Lubin-Tate spectrum En, in

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 quasi-isogenies of A/Fpn of l-power degree is canonically a dense subgroup of the n-th Morava stabilizer group at p. We also give a variant

In this note we show that the nth Morava E-cohomology group of a finite spectrum with action of the nth Morava stabilizer group can be recovered from the (n + 1)st Morava E-cohomology group with action of the (n + 1)st Morava stabilizer group.

Quasi-isogenies and Morava stabilizer groups

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

Abstract. In this note we discuss certain innite subgroups of the Morava stabi-lizer 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

Quasi-isogenies and Morava stabilizer groups

Abstract. There exists a p-local spectrum T (m) with BP∗(T (m))= BP∗[t1,...,tm]. Its Adams-Novikov E2-term 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

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 quasi-isogenies of A/Fpn of l-power degree is canonically a dense subgroup of the n-th Morava stabilizer group at p. We also give a variant

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 vn-local comodule which is killed by the ideal I. (p