324 citations · 1.7k across the 753 of their papers we have counts for
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A permutation group acting transitively on certain collections of models
Samuel M. Corson, Saharon Shelah
It is shown, from -centered Martin's Axiom, that there exists a proper dense subgroup of the symmetric group on a countably infinite set whose natural action on sufficiently fle…
Quite free p-groups with trivial duality
Mohsen Asgharzadeh, Mohammad Golshani, Saharon Shelah
We present a class of abelian groups that exhibit a high degree of freeness while possessing no non-trivial homomorphisms to a canonical free object. Unlike prior investigations, w…
Artinian groups of large cardinality
Samuel M. Corson, Saharon Shelah
A group is Artinian if there is no infinite strictly descending chain of subgroups. Ol'shanskii has asked whether there are Artinian groups of arbitrarily large cardinality. We sho…
On groups well represented as automorphism groups of groups
Mohsen Asgharzadeh, Mohammad Golshani, Daniel Herden +1
Assuming Gödel's axiom of constructibility we present a characterization of those groups for which there exist arbitrarily large groups such that $aut(H)…
On the existence of uncountable Hopfian and co-Hopfian abelian groups
Gianluca Paolini, Saharon Shelah
We deal with the problem of existence of uncountable co-Hopfian abelian groups and (absolute) Hopfian abelian groups. Firstly, we prove that there are no co-Hopfian reduced abelian…
Inverse limits of left adjoint functors on pointed sets
Ilan Barnea, Saharon Shelah
This paper is a continuation of [BaSh], where we studied the behaviour of the abelianization functor under inverse limits. Our main result in [BaSh] was that if is a…