Speaker: Ulla Karhumäki
University of Helsinki
Will give a Logic Seminar entitled:
Small supersimple pseudofinite groups
Abstract: A simple group is pseudofinite if and only if it is isomorphic to a (twisted) Chevalley group over a pseudofinite field. This celebrated result mostly follows from the work of Wilson in 1995 and heavily relies on the classification of finite simple groups (CFSG). It easily follows that any simple pseudofinite group G has a supersimple finite SU-rank theory. In particular, if SU(G)=3 then G is isomorphic to PSL_2(F) for some pseudofinite field F. In this talk we will see that the classification G \cong PSL_2(F) above does not require CFSG. This is joint work with Frank Wagner.
Date: 04-23-2024
Time: 2:00 pm
Location: 125 Hayes-Healy Bldg