On Involutions With Many Fixed Points in Gassmann Triples

Authors

Jim Stark, University of VirginiaFollow

Abstract

We show that in a non-trivial Gassmann triple (G,H,H') of index n there does not exist an involution t in G such that the value of the permutation charactger on t is n-2. In addition we describe a GAP program designed to search for examples of Gassmann triples and give a brief summary of the results of this search.

Author Bio

Jim Stark is a 4th year Mathematics major at the University of Virginia and plans to attend graduate school and pursue a PhD. "On Involutions With Many Fixed Points in Gassmann Triples" was written for the Louisiana State REU in the Summer of 2007.

Faculty Sponsor

Robert Perlis

Recommended Citation

Stark, Jim (2008) "On Involutions With Many Fixed Points in Gassmann Triples," Rose-Hulman Undergraduate Mathematics Journal: Vol. 9: Iss. 1, Article 8.
Available at: https://scholar.rose-hulman.edu/rhumj/vol9/iss1/8