Plotkin’s Geometric Equivalence, Mal’cev’s Closure, and Incompressible Nilpotent Groups
- 作者: Noskov G.1
-
隶属关系:
- Sobolev Institute of Mathematics
- 期: 卷 243, 编号 4 (2019)
- 页面: 601-611
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243124
- DOI: https://doi.org/10.1007/s10958-019-04561-x
- ID: 243124
如何引用文章
详细
In 1997, B. I. Plotkin introduced a concept of geometric equivalence of algebraic structures and posed a question: is it true that every nilpotent torsion-free group is geometrically equivalent to its Mal’cev’s closure? A negative answer in the form of three counterexamples was given by V. V. Bludov and B. V. Gusev in 2007. In the present paper, an infinite series of counterexamples of unbounded Hirsch rank and nilpotency degree is constructed.
作者简介
G. Noskov
Sobolev Institute of Mathematics
编辑信件的主要联系方式.
Email: g.noskov@googlemail.com
俄罗斯联邦, Omsk