Department of Mathematics

 

BILKENT

GROUP THEORY SEMINAR

 

 

 

The Frattini and Fitting Subgroups

 

By

 

HATÝCE MUTLU

(Bilkent University)

 

 

 

Abstract: We start by defining the Frattini subgroup of a finite group G give a characterization of it as the set of nongenerators of G. We also prove that the Frattini factor group of a p-group is its maximal elementary abelian quotient. Then, we define the Fitting subgroup and prove that when G is a solvable group, the Fitting subgroup contains its own centralizer. Finally, we establish a connection between the Frattini and Fitting subgroups.
 

 

 

 

 

Date:  Monday, November 28, 2016

Time: 15:40 – 17.30

Place: Mathematics Seminar Room, SA-141

 

 
All are most cordially invited. 
Tea and biscuits before the seminar.