“Permutation group theory”
Mercoledì 6 Maggio 2020, ore 14:30 - Zoom - Mariapia Moscatiello (Dipartimento di Matematica “Tullio Levi Civita”)
Abstract
The study of permutation groups is an old subject with a rich history, stretching all the way back to the origins of group theory in the early 19th century. Of course, the modern notion of a permutation group is extremely flexible, and they arise naturally throughout mathematics, with important applications across the sciences.
In this seminar, we will focus on finite permutation groups, which continue to be a very active area of current research. After introducing some very basic concepts, we will see, with some examples, how the Classification of Finite Simple Groups has revolutionized the study of finite permutation groups. Some of the topics we will discuss have interesting connections to other areas of mathematics, such as combinatorics, representation theory, graph theory. We will highlight these applications.
