When

Start: 02/17/2016 - 4:15pm

End : 02/17/2016 - 4:15pm

End : 02/17/2016 - 4:15pm

Category

Colloquium

Speaker

Robert Guralnick (USC)

Abstract

A permutation g on a set X is said to be fixed point free (or a derangement) if g fixes no points. If G is a finite group acting transitively on a set of cardinality greater than 1, then an elementary 1872 theorem of Jordan says that G contains derangements. We will discuss generalizations of this result and applications to finite fields and number theory.

Where

Argue Auditorium, Millikan, Pomona College