ON GROUPS WELL REPRESENTED AS AUTOMORPHISM GROUPS OF GROUPS
Assuming Gödel’s axiom of constructibility V=L, we present a characterization of those groups K for which there exist arbitrarily large groups H such that Aut(H)≅ K. In particular, we show that it suffices to have one such group H such that the size of its center is bigger than 2|K|+ℵ0.
Authors
- Saharon Shelah (ORCID: https://orcid.org/0000-0003-0462-3152)
- Mohammad Amin Golshani (ORCID: https://orcid.org/0000-0002-4689-1510)
- Mohsen Asgharzadeh
- Daniel Herden (ORCID: https://orcid.org/0000-0002-4980-8778)
Publication Details
- Journal
- Journal of Commutative Algebra
- Published
- 2025-09-01
- DOI
- https://doi.org/10.1216/jca.2025.17.251
- Primary Topic
- advanced mathematical theories
- Type
- article
- Field-Weighted Citation Impact
- 0.00