Sh:1049
- Asgharzadeh, M., Golshani, M., Herden, D., & Shelah, S. (2025). On groups well represented as automorphism groups of groups. J. Commut. Algebra, 17(3), 251–270. arXiv: 2407.09279 DOI: 10.1216/jca.2025.17.251 MR: 4954450
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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) - published version (20p)
Bib entry
@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}},
journal = {J. Commut. Algebra},
fjournal = {Journal of Commutative Algebra},
volume = {17},
number = {3},
year = {2025},
pages = {251--270},
issn = {1939-0807},
mrnumber = {4954450},
mrclass = {20A15 (20E36)},
doi = {10.1216/jca.2025.17.251},
note = {\href{https://arxiv.org/abs/2407.09279}{arXiv: 2407.09279}},
arxiv_number = {2407.09279}
}