__Claremont Graduate University__ | __Claremont McKenna__ | __Harvey Mudd__ | __Pitzer__ | __Pomona__ | __Scripps__

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Copyright © 2011 Claremont Center for the Mathematical Sciences

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