Add to ORKGA pro-Lie group is a projective limit of finite dimensional Lie groups. It is proved that a surjective continuous group homomorphism between connected pro-Lie groups is open. In fact this remains true for almost connected pro-Lie groups where a topological group is called almost connected if the factor group modulo the identity component is compact. As consequences we get a Closed Graph Theorem and the validity of the Second Isomorphism Theorem for pro-Lie groups in the almost connected context. © 2007 Australian Mathematical Society.C
A pro-p-group G is said to be normally constrained (or, equivalently, of obliquity zero) if every op...
A pro-p-group G is said to be normally constrained (or, equivalently, of obliquity zero) if every op...
A pro-p-group G is said to be normally constrained (or, equivalently, of obliquity zero) if every op...
We survey sufficient conditions that force a surjective continuous homomorphism between topological ...
For a topological group G we define N to be the set of all normal subgroups modulo which G is a fini...
We present some recent results in the structure theory of pro-Lie groups and locally compact groups,...
Recalling that a topological group G is said to be almost connected if the quotient group G=G0 is co...
AbstractWe discuss the structure and Cartesian products of the countably compact groups G that satis...
Let H and M be closed normal subgroups of a pro-Lie group G and assume that H is connected and that ...
This article surveys the development of the theory of compact groups and pro-Lie groups, contextuali...
In the book "The Lie Theory of Connected Pro-Lie Groups" the authors proved the local splitting theo...
AbstractLet p be a prime. We classify finitely generated pro-p groups G which satisfy d(H)=d(G) for ...
We extend van Mill's version of the Effros Open Mapping Principle from analytic groups to almost com...
A pro-p-group G is said to be normally constrained (or, equivalently, of obliquity zero) if every op...
We extend van Mill's version of the Effros Open Mapping Principle from analytic groups to almost com...
A pro-p-group G is said to be normally constrained (or, equivalently, of obliquity zero) if every op...
A pro-p-group G is said to be normally constrained (or, equivalently, of obliquity zero) if every op...
A pro-p-group G is said to be normally constrained (or, equivalently, of obliquity zero) if every op...
We survey sufficient conditions that force a surjective continuous homomorphism between topological ...
For a topological group G we define N to be the set of all normal subgroups modulo which G is a fini...
We present some recent results in the structure theory of pro-Lie groups and locally compact groups,...
Recalling that a topological group G is said to be almost connected if the quotient group G=G0 is co...
AbstractWe discuss the structure and Cartesian products of the countably compact groups G that satis...
Let H and M be closed normal subgroups of a pro-Lie group G and assume that H is connected and that ...
This article surveys the development of the theory of compact groups and pro-Lie groups, contextuali...
In the book "The Lie Theory of Connected Pro-Lie Groups" the authors proved the local splitting theo...
AbstractLet p be a prime. We classify finitely generated pro-p groups G which satisfy d(H)=d(G) for ...
We extend van Mill's version of the Effros Open Mapping Principle from analytic groups to almost com...
A pro-p-group G is said to be normally constrained (or, equivalently, of obliquity zero) if every op...
We extend van Mill's version of the Effros Open Mapping Principle from analytic groups to almost com...
A pro-p-group G is said to be normally constrained (or, equivalently, of obliquity zero) if every op...
A pro-p-group G is said to be normally constrained (or, equivalently, of obliquity zero) if every op...
A pro-p-group G is said to be normally constrained (or, equivalently, of obliquity zero) if every op...