4 citations · 17 across the 24 of their papers we have counts for
5 papers · 1 filter
A Nunke type classification in the locally compact setting
Samuel M. Corson, Olga Varghese
In this short note we prove that a group G is lcH-slender -- that is, every abstract group homomorphism from a locally compact Hausdorff topological group to G has an open kernel -…
Abstract homomorphisms from some topological groups to acylindrically hyperbolic groups
Oleg Bogopolski, Samuel M. Corson
We describe homomorphisms for which the codomain is acylindrically hyperbolic and the domain is a topological group which is either completely metrizable or loca…
Strongly bounded groups of various cardinalities
Samuel M. Corson, Saharon Shelah
Strongly bounded groups are those groups for which every action by isometries on a metric space has orbits of finite diameter. Many groups have been shown to have this property, an…
Freely indecomposable almost free groups with free abelianization
Samuel M. Corson
For certain uncountable cardinals we produce a group of cardinality which is freely indecomposable, strongly -free, and whose abelianization is free abelian of rank .…
On preservation of automatic continuity
Samuel M. Corson, Ilya Kazachkov
A group is called automatically continuous if any homomorphism from a completely metrizable or locally compact Hausdorff group to has open kernel. In this paper, we study p…