**BILKENT **

**ALGEBRA SEMINAR**

**" On**** Finite Groups with Solvable Centralizers**

of Involutions"

By

# İPEK TUVAY

# (Gebze Technical University)

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**Abstract: **It is
an old problem from the Kourovka Notebook which asks
for description of the finite groups with solvable centralizers of involutions.
In this talk we will first give a survey of results regarding this problem. We
will prove that when the solvable radical is nilpotent of odd order, these groups
are p-constrained for the primes p dividing the order
of the solvable radical. We will also describe the structure of the groups in
question under this assumption. This is an ongoing joint work with Kıvanç Ersoy.

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**Date: ****Tuesday, June 16, 2015**

**Time: ****14.40-15.30**

**Place: ****Mathematics Seminar Room,
SA-141**

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**All are most cordially invited.**

Tea and biscuits: after the seminar