Computing test rank for a free solvable group

被引：6
作者：
Timoshenko E.I. [1 ]
机构：
[1] Novosibirsk State Architectural and Building Engineering University, Novosibirsk
来源：
Algebra and Logic | 2006年 / 45卷 / 4期
基金：
俄罗斯基础研究基金会;
关键词：
Free solvable group; Test element;
D O I：
10.1007/s10469-006-0023-6
中图分类号：
学科分类号：
摘要：
It is proved that test rank of a free solvable non-Abelian group of finite rank is 1 less than the rank of that group. This gives the answer to Question 14.88 posed in the Kourovka Notebook by Fine and Shpilrain, asking whether or not a free solvable group of rank 2 and solvability index n ≥ 3 has test elements. © Springer Science+Business Media, Inc. 2006.
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收藏
页码：254 / 260
页数：6
相关论文
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