On automorphisms and embeddings of free periodic groups |
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Authors: | A. S. Pahlevanyan H. R. Rostami |
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Affiliation: | 1. Yerevan State University, Yerevan, Armenia
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Abstract: | The paper gives a construction of a free monoid of rank 2 in the group of automorphisms of free periodic groups B(m, n) of any odd period n ≥ 665 and any rank m > 1.Moreover, it is proved that if the period is any prime numbern > 1003 and the group B(m, n) is nested in some n-periodic group G as a normal subgroup, then B(m, n) is a direct factor in G. |
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