Mathematical logic, algebra and number theory

K.A. Philippov On centralizers of automorphisms of Burnside groups $B_0(2,5)$.

K. A. Filippov

Krasnoyarsk State Agricultural University

Abstract: Suppose $B_0(2,5)$ is a group of exponent 5 having two generators and maximal possible order. We prove that $Aut(G)$ acts fixed points freely on every factor of upper central series of the group $G$.

Keywords: Burnside problem.

UDC: 512.5

MSC: 13A99

Received January 12, 2012, published March 6, 2012