RUS  ENG
Full version
JOURNALS // Proceedings of the Yerevan State University, series Physical and Mathematical Sciences // Archive
Proceedings of the YSU, Physical and Mathematical Sciences, 2019 Volume 53, Issue 3, Pages 147–149 (Mi uzeru646)
Mathematics

On fixed points of automorphisms

V. S. Atabekyan, H. T. Aslanyan

Yerevan State University, Faculty of Mathematics and Mechanics

Abstract: We prove that each automorphism of order 2 of any non-abelian periodic group of odd period has a non-trivial fixed point.

Keywords: fixed point, automorphism, involution, periodic group.

MSC: 20F50, 20F28, 20E36

Received: 01.11.2019
Revised: 24.11.2019
Accepted: 10.12.2019

Language: English


© Steklov Math. Inst. of RAS, 2024