منابع مشابه
Divisible Groups Derived from Divisible Hypergroups
The purpose of this paper is to define a new equivalence relation τ∗ on divisible hypergroups and to show that this relation is the smallest strongly regular relation (the fundamental relation) on commutative divisible hypergroups. We show that τ∗ ̸= β∗, τ∗ ̸= γ∗ and, we define a divisible hypergroup on every nonempty set. We show that the quotient of a finite divisible hypergroup by τ∗ is the tr...
متن کاملMinimal p-divisible groups
Introduction. A p-divisible group X can be seen as a tower of building blocks, each of which is isomorphic to the same finite group scheme X[p]. Clearly, if X1 and X2 are isomorphic then X1[p] ∼= X2[p]; however, conversely X1[p] ∼= X2[p] does in general not imply that X1 and X2 are isomorphic. Can we give, over an algebraically closed field in characteristic p, a condition on the p-kernels whic...
متن کاملp-DIVISIBLE GROUPS: PART II
This talk discusses the main results of Tate’s paper "p-Divisible Groups" [6]. From the point of view of p-adic Hodge theory, this is a foundational paper and within this setting, much of the technical work being done becomes extremely important. From our perspective, having just learned what p-divisible groups are three weeks ago, however, the significance of the results could easily be drowne...
متن کاملNOTES ON TATE’S p-DIVISIBLE GROUPS
The aim here is simply to provide some details to some of the proofs in Tate's paper [T]. 2. Tate's Section 2.2 2.1. Lemmas about divisibility. We say Γ → Γ is an isogeny of the formal group Γ = Spf(A) if the corresponding map A → A is injective and makes A free over itself of finite rank. Tate calls Γ divisible, if p : Γ → Γ is an isogeny. This is equivalent to ψ : A → A is injective and makes...
متن کاملOn the Divisible Parts of Quotient Groups
We study the possible cardinalities of the divisible part of G/K when the cardinality of K is known and when, for all countable subgroups C of G, the divisible part of G/C is countable.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2008
ISSN: 0166-8641
DOI: 10.1016/j.topol.2007.06.018