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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2012, Volume 9, Pages 185–189
(Mi semr347)
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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.
Received January 12, 2012, published March 6, 2012
Citation:
K. A. Filippov, “K.A. Philippov
On centralizers of automorphisms of Burnside groups $B_0(2,5)$.”, Sib. Èlektron. Mat. Izv., 9 (2012), 185–189
Linking options:
https://www.mathnet.ru/eng/semr347 https://www.mathnet.ru/eng/semr/v9/p185
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