Natural Science, Mathematics, 2025
INFINITE ORDER AUTOMORPHISMS OF FREE PERIODIC GROUPS OF SUFFICIENTLY LARGE EXPONENT
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Submitted: 2025-02-28; Published: 2025-02-28
© 2025 by author(s) and The Gufo Inc.
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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.