无有限非平凡正规子群 virtually free 群是强语言闭的
群论
2018-06-26 v3
摘要
任一不含非平凡有限正规子群（例如无限二面体群）的 virtually free 群 ，是任一包含 作为语言闭子群的有限生成群的收缩核。
引用
@article{arxiv.1712.03406,
title = {Virtually free finite-normal-subgroup-free groups are strongly verbally closed},
author = {Anton A. Klyachko and Andrey M. Mazhuga and Veronika Yu. Miroshnichenko},
journal= {arXiv preprint arXiv:1712.03406},
year = {2018}
}
备注
6 pages. V2: minor corrections. V3: misprint corrections. A Russian version of this paper is at http://halgebra.math.msu.su/staff/klyachko/papers.htm