An analogue of a theorem of Iwasawa in graph theory

Abstract: In the 1950s, Iwasawa proved his now celebrated theorem on the growth of the p-part of the class number in some infinite towers of number fields. In this talk, we will explain our recent work in obtaining an analogous result in graph theory involving the p-part of the number of spanning trees in some infinite towers of graphs. Part of this work is joint with Kevin McGown.

combinatoricsnumber theory

Audience: researchers in the topic

Algebra and Number Theory Seminars at Université Laval