Student Talks

Two Reed students will report on original results stemming from REU (Research Experience for Undergraduates) programs attended last summer. Each talk will be about 20 minutes long plus time for questions.

Investigations in Nonabelian Difference Sets of Order 25

Strom Borman

Abstract: Abstract: Historically the study of difference sets has been restricted to abelian groups and it has been proven that no abelian (352, 27, 2), (204, 29, 4), (112, 37, 12), or (105, 40, 15)-difference sets exist. By using representation theory and algebraic number theory, we prove that there are no nonabelian difference sets in groups of order 352, 204, 112, and 105.

Turbulence stratification and f-invariant delta-scrambled subsets.

Forrest Elliott-Farren

Abstract: In this talk, I am interested in pinpointing the existence of f-invariant δ-scrambled sets in the turbulent stratification presented by Block and Coppel which builds on Sarkovskii's Ordering of the reals.I will explore the properties which guarantee that a map of odd period will admit an f-invariant δ-scrambled subset. I will also sketch a proof that any map f which admits such a set has the property that f ² is turbulent.