Combinatorics Seminar- On the Intersection Numbers of Finite Groups

Title:  On the Intersection Numbers of Finite Groups
Speaker: Lindsey-Kay Lauderdale, Towson
Date and time: Thursday, April 4, 4-5pm
Place: Rome 352

Abstract:  In a popular paper of Cohn, the concept of a covering number of a group was introduced. The covering number of a nontrivial finite group G is the smallest number of proper subgroups of G whose set-theoretic union is G. Covering numbers are the subject of prior research by numerous authors, and in this talk we focus on a dual problem to that of covering numbers of groups, which involves maximal subgroups of finite groups. In addition, we will compare our results to some of the well-known results on covering numbers.  This is joint work with Kassie Archer and Humberto Bautista Serrano.