INFINITE ORDER AUTOMORPHISMS OF FREE PERIODIC GROUPS OF SUFFICIENTLY LARGE EXPONENT
DOI:
https://doi.org/10.46991/PYSU:A/2009.43.2.038Keywords:
free periodic groups, Burnside groups, group automorphismsAbstract
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
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/PYSU:A/2009.43.2.038
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Section
Mathematics
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Copyright (c) 2009 Proceedings of the YSU
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