Mathematics Graduate Student Colloquium

MGSC Website: http://math.uci.edu/~mgsc/

Cyclic Density of Finite Groups

Adam Marks
Thursday, October 17, 2019
4:00 pm - 4:50 pm
RH 340N

Talk Abstract:

We investigate the interwoven-ness of cyclic subgroups of finite groups, defining a property called the cyclic density. Certain families of groups have simple formulas for their cyclic densities, but a formula for symmetric groups remains elusive. We conjecture as to the asymptotic behavior of cyclic density of symmetric groups of increasing size and develop a way to compute the density that is moderately improved over naive brute force.

About the Speaker:

Adam Marks is a first year PhD student, seeking refuge from decades of commercial software engineering and entrepreneurship. Most recently he co-founded a startup that grew into a part of Amazon Web Services.

Refreshments:

Pizza will be served after the talk.