On automorphisms and embeddings of free periodic groups
被引:0
|
作者:
A. S. Pahlevanyan
论文数: 0引用数: 0
h-index: 0
机构:Yerevan State University,
A. S. Pahlevanyan
H. R. Rostami
论文数: 0引用数: 0
h-index: 0
机构:Yerevan State University,
H. R. Rostami
机构:
[1] Yerevan State University,
来源:
Journal of Contemporary Mathematical Analysis
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2011年
/
46卷
关键词:
Free Burnside group;
group of automorphisms;
free semigroup;
free monoid;
periodic group;
20F50;
20F05;
20F28;
20M05;
20E36;
D O I:
暂无
中图分类号:
学科分类号:
摘要:
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.