منابع مشابه
One-dimensional Formal Groups
In this Wednesday night section for Algebraic Number Theory, we will go through basic facts about one dimensional formal groups and hopefully get to see how they might be useful and interesting. All rings are commutative with identity. The sources of this material are my notes from Elliptic Curves, a course taught by Tom Fisher at Cambridge last year, J. Silverman’s Elliptic Curves Book. A few ...
متن کاملFundamental Groups of One-dimensional Spaces
Let X be a metrizable one-dimensional continuum. In the present paper we describe the fundamental group of X as a subgroup of its Čech homotopy group. In particular, the elements of the Čech homotopy group are represented by sequences of words. Among these sequences the elements of the fundamental group are characterized by a simple stabilization condition. This description of the fundamental g...
متن کاملVanishing of one dimensional L-cohomologies of loop groups
Let G be a simply connected compact Lie group. Let Le(G) be the based loop group with the base point e which is the identity element. Let νe be the pinned Brownian motion measure on Le(G) and let α ∈ L(∧T Le(G), νe) ∩ D∞,p(∧1T Le(G), νe) (1 < p < 2) be a closed 1-form on Le(G). Using the results in rough path analysis, we prove that there exists an f ∈ Lloc(Le(G), νe) such that df = α. Moreover...
متن کاملParabolic Groups Acting on One-dimensional Compact Spaces
Given a class of compact spaces, we ask which groups can be maximal parabolic subgroups of a relatively hyperbolic group whose boundary is in the class. We investigate the class of 1-dimensional connected boundaries. We get that any non-torsion infinite f.g. group is a maximal parabolic subgroup of some relatively hyperbolic group with connected one-dimensional boundary without global cut point...
متن کاملOn the Fundamental Groups of One–dimensional Spaces
We study the fundamental group of one–dimensional spaces. Among the results we prove are that the fundamental group of a second countable, connected, locally path connected, one–dimensional metric space is free if and only if it is countable if and only if the space has a universal cover and that the fundamental group of a compact, one–dimensional, connected metric space embeds in an inverse li...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1992
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1992.154.331