Search Results
You are looking at 1 - 4 of 4 items :
- Author: Helge Glöckner x
- Mathematics x
- General Mathematics x
Abstract
Let G be a totally disconnected, locally compact group admitting a contractive automorphism α. We prove a Jordan-Hölder theorem for series of α-stable closed subgroups of G, classify all possible composition factors and deduce consequences for the structure of G.
Abstract
We show that every finite-dimensional p-adic Lie group of class Ck (where k ∈ ℕ ∪ {∞}) admits a Ck-compatible analytic Lie group structure. We also construct an exponential map for every k + 1 times strictly differentiable (SC k+1) ultrametric p-adic Banach-Lie group, which is an SC 1-diffeomorphism and admits Taylor expansions of all finite orders ≤ k.
