INFINITE ORDER AUTOMORPHISMS OF FREE PERIODIC GROUPS OF SUFFICIENTLY LARGE EXPONENT

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INFINITE ORDER AUTOMORPHISMS OF FREE PERIODIC GROUPS OF SUFFICIENTLY LARGE EXPONENT A. S. Pahlevanyan

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.

DOI: 10.46991/PYSUA.2009.43.2.038 Physical and Mathematical Sciences, 43(2 (219) 38-42

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Keywords

free periodic groups, Burnside groups, group automorphisms

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