On group well represented as automorphic groups of groups

by Herden and Shelah. [HeSh:1049]

Assuming (less than) mathbf V = mathbf L, we characterize group GL such that there are arbitrarily large group H such that {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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