Leavitt path algebras of power graphs

Ekrem Şimşek, Grad student, Dokuz Eylül University. Date: December 26, 2023, Tuesday, Time: 11.00 – 12:00. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.

Abstract In this talk we will first introduce Directed power graph of a given group. The directed power graph of a group G is the digraph with vertex set G, having an arc from y to x whenever x is a power of y. Then we will talk about Leavitt path algebra and we will give some examples. Finally we will talk about Leavitt path algebras of a directed power graph of finite groups and their Grothendieck groups.