On Some Elementary Properties of Soluble Groups of Derived Length 2

被引：0
|
作者：
N. S. Romanovskii
E. I. Timoshenko
机构：
[1] Novosibirsk State University of Architecture and Building,
来源：
Siberian Mathematical Journal | 2003年 / 44卷
关键词：
group; soluble; derived subgroup; elementary theory;
D O I：
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摘要：
Conditions are found for a soluble group of derived length 2 with few relations to be universally equivalent to a free soluble group of derived length 2. The Fitting radical of a soluble group of derived length 2 with few relations coincides with the derived subgroup. Also, if an n-generator soluble group is elementarily equivalent to a free soluble group of rank m and derived length k then for k=2 or k>2 and n=m the groups are isomorphic.
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页码：350 / 354
页数：4
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