Speaker
Marco Vergani
Description
This seminar explores the uniformly semi-rationality property of alternating groups. These groups are of particular interest as they constitute a generalization of the well-studied CUT groups. The study of simple groups with this property ultimately reduces to examining alternating groups. Using combinatorial arguments and a seemingly unrelated numerical result, that all natural numbers greater than 69 possess a rational partition, we proved that there are only a finite number of alternating group that have this uniformity condition.