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math.GR2024
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…
math.GR2024
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)…