Sh:1049

• Asgharzadeh, M., Golshani, M., Herden, D., & Shelah, S. On groups well represented as automorphism groups of groups. Preprint. arXiv: 2407.09279
• Abstract:
  Assuming (less than) \mathbf V = \mathbf L, we characterize group GL such that there are arbitrarily large group H such that \rm{aut}(H) \cong L. In particular it suffies to have one of cardinal >|L|^{\aleph_0}. In addition, if |L| < \aleph_\omega no need for \mathbf V = \mathbf L (full). Similarly for End(G) \cong L so L is semi-group (fill)
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@article{Sh:1049,
 author = {Asgharzadeh, Mohsen and Golshani, Mohammad and Herden, Daniel and Shelah, Saharon},
 title = {{On groups well represented as automorphism groups of groups}},
 note = {\href{https://arxiv.org/abs/2407.09279}{arXiv: 2407.09279}},
 arxiv_number = {2407.09279}
}