Hall universal group has ample generic automorphisms

Lecture

Theme

Hall universal group has ample generic automorphisms

Lecturer：Shichang Song Phd.

Time：14 April Friday 16：00-17：00。

Place：School of mathematical, 8^throom,

Abstract：

 We show that the class of finite groups with n automorphisms has the amalgamation property for every n.Consequently, the automorphism group of Philip Hall's universal locally finite group has ample generics, that is, it admits comeager diagonal conjugacy classes in all dimensions.

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