Graduate Student Combinatorics Seminar Sponsored by DIMACS
Outer Automorphisms of S_6
Location: Hill Grad Student Lounge
Date & time: Wednesday, 19 October 2016 at 12:10PM - 12:11PM
Jason Saied, Rutgers University: S_6 is the only symmetric group which has outer automorphisms. (Yep, you read that right. What's so special about six?) We'll spend some time looking at the structure of the automorphism group of S_6 and the pretty properties it has. Among other things, we'll construct the outer automorphisms by playing with icosahedra, use those icosahedra to find some pretty weird (and important!) subgroups of S_6, and cook up a surprisingly simple construction of the Sylvester graph.
This is based on work I did at Lafayette College with Dantong Zhu.