Fixed Point Free Permutations

When
Start: 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