Geodesic
On fixed points of automorphisms
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 3, pp. 147-149.

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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, involution, periodic group.
Mots-clés : automorphism 
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V. S. Atabekyan; H. T. Aslanyan. On fixed points of automorphisms. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 53 (2019) no. 3, pp. 147-149. http://geodesic.mathdoc.fr/item/UZERU_2019_53_3_a0/

[1] V. D. Mazurov, E. I. Khukhro (eds.), The Kourovka Notebook. Unsolved Problems in Group Theory, 17, Russian Academy of Sciences Siberian Division, Sobolev Institute of Mathematics, Novosibirsk, 2010 | MR | Zbl

[2] S. I. Adian, The Burnside Problem and Identities in Groups, Ergeb. Math. Grenzgeb., 95, Springer, Berlin–Heidelberg–New York, 1979 | MR | Zbl

[3] E. A. Cherepanov, “Normal Automorphisms of Free Burnside Groups of Large Odd Exponents”, Int. J. Algebra Comput., 16:5 (2006), 839–847 | DOI | MR | Zbl

[4] V. S. Atabekyan, “Normal Automorphisms of Free Burnside Groups”, Izv. Math., 75:2 (2011), 223–237 | DOI | MR | Zbl

[5] V. S. Atabekyan, “Splitting Automorphisms of Free Burnside Groups”, Mat. Sb., 204:2 (2013), 182–3189 | DOI | MR

[6] V. S. Atabekyan, “Splitting Automorphisms of Order $p^k$ of Free Burnside Groups are Inner”, Math. Notes, 95:5 (2014), 586–589 | DOI | MR | Zbl

[7] V. S. Atabekyan, “The Groups of Automorphisms are Complete for Free Burnside Groups of Odd Exponents $n\ge1003$”, Int. J. Algebra Comput., 23:6 (2013), 1485–1496 | DOI | MR | Zbl