# Class-preserving automorphisms of groups

Seminar

Speaker

Dr. Pradeep Kumar Rai (Bar-Ilan University)

Date

04/05/2016 - 12:00 - 11:00Add to Calendar

`2016-05-04 11:00:00``2016-05-04 12:00:00``Class-preserving automorphisms of groups``Let G be a group. An automorphism of G is called class-preserving if it maps each group element to a conjugate of it. The obvious examples of class-preserving automorphisms are inner automorphisms. The first example of a group having non-inner class-preserving automorphisms was given by Burnside in 1913. In this talk we shall present a brief survey of the topic and discuss the nilpotency of the outer class-preserving automorphism group, i.e. the factor group Aut_c(G) / Inn(G), where Aut_c(G) is the group of class-preserving automorphisms of G.``Third floor seminar room``אוניברסיטת בר-אילן - Department of Mathematics``mathoffice@math.biu.ac.il``Asia/Jerusalem``public`Place

Third floor seminar room

Abstract

Let G be a group. An automorphism of G is called class-preserving if it maps each group element to a conjugate of it. The obvious examples of class-preserving automorphisms are inner automorphisms. The first example of a group having non-inner class-preserving automorphisms was given by Burnside in 1913. In this talk we shall present a brief survey of the topic and discuss the nilpotency of the outer class-preserving automorphism group, i.e. the factor group Aut_c(G) / Inn(G), where Aut_c(G) is the group of class-preserving automorphisms of G.

Last Updated Date : 25/04/2016