Hall universal group has ample generic automorphisms

Release:2017-04-11 Viewed:14

Lecture


Theme


Hall universal group has ample generic automorphisms


LecturerShichang Song Phd.

Time14 April Friday 1600-1700

PlaceSchool of mathematical, 8throom,

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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