# Sh:1049

• Herden, D., & Shelah, S. On group well represented as automorphic groups of groups. Preprint.
• 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)
@article{Sh:1049,
}