10 citations · 42 across the 22 of their papers we have counts for
4 papers · 1 filter
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)…
Forcing a Basis into -Free Groups
Daniel Bossaller, Daniel Herden, Alexandra V. Pasi
In this paper, we address the question of when a non-free -free group can be be free in a transitive cardinality-preserving model extension. Using the -invariant,…
On the absoluteness of -freeness
Daniel Herden, Alexandra V. Pasi
-free groups, abelian groups for which every countable subgroup is free, exhibit a number of interesting algebraic and set-theoretic properties. In this paper, we give a…
-free cogenerators
Manfred Dugas, Daniel Herden, Saharon Shelah
We prove in ZFC that an abelian group is cotorsion if and only if for every -free group , and discuss some consequences and related r…