INFINITE ORDER AUTOMORPHISMS OF FREE PERIODIC GROUPS OF SUFFICIENTLY LARGE EXPONENT

Authors

  • A. S. Pahlevanyan Chair of Algebra and Geometry, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSUA.2009.43.2.038

Keywords:

free periodic groups, Burnside groups, group automorphisms

Abstract

In this paper we construct infinite order automorphisms of free periodic groups B (m, n)  of sufficiently large period n with m ≥ 2 generators. From the obtained results it follows that the quotient group of the group       Aut(B (m, n)) with respect to normal subgroup of inner automorphisms is infinite.

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Published

2009-06-26

Issue

Vol. 43 No. 2 (219) (2009)

Section

Mathematics

License

Copyright (c) 2009 Proceedings of the YSU

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Pahlevanyan, A. S. (2009). INFINITE ORDER AUTOMORPHISMS OF FREE PERIODIC GROUPS OF SUFFICIENTLY LARGE EXPONENT. Proceedings of the YSU A: Physical and Mathematical Sciences, 43(2 (219), 38-42. https://doi.org/10.46991/PYSUA.2009.43.2.038