منابع مشابه
CoGalois groups as metric spaces
The coGalois group associated to a torsion free cover of a Z-module are known to have a canonical topology. In this paper we will see that this topology can be deduced by p-roots of elements of coGalois groups over Zp (p is a prime). We shall investigate in the metric associated to this topology and deduce that the coGalois groups are complete and are isomorphic as metric spaces to products of ...
متن کاملOn component extensions locally compact abelian groups
Let $pounds$ be the category of locally compact abelian groups and $A,Cin pounds$. In this paper, we define component extensions of $A$ by $C$ and show that the set of all component extensions of $A$ by $C$ forms a subgroup of $Ext(C,A)$ whenever $A$ is a connected group. We establish conditions under which the component extensions split and determine LCA groups which are component projective. ...
متن کاملExtensions of Groups
To better understand groups it is often useful to see how a group can be built from smaller groups. For example, given two groups G and H, we can form the direct product G × H. This new group can be studied in terms of the two pieces from which it is built. However, the direct product construction is too special to understand most groups. In other words, most groups are not expressible as the d...
متن کاملon component extensions locally compact abelian groups
let $pounds$ be the category of locally compact abelian groups and $a,cin pounds$. in this paper, we define component extensions of $a$ by $c$ and show that the set of all component extensions of $a$ by $c$ forms a subgroup of $ext(c,a)$ whenever $a$ is a connected group. we establish conditions under which the component extensions split and determine lca groups which are component projective. ...
متن کاملExtensions of p-compact Groups
The classification of short exact sequences of p-compact groups and of rational isomorphisms of not necessarily connected p-compact groups is discussed.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1995
ISSN: 0022-4049
DOI: 10.1016/0022-4049(94)00126-x