克莱因瓶群不是强 verbal 闭的，尽管极其接近于此
群论
2021-06-18 v2
摘要
根据Mazhuga定理，任意连通曲面（可能除克莱因瓶外）的基本群是包含作为verbal闭子群的每个有限生成群的收缩核。我们证明克莱因瓶群确实是一个例外，但具有非常接近的性质。
引用
@article{arxiv.2006.15523,
title = {The Klein bottle group is not strongly verbally closed, though awfully close to being so},
author = {Anton A. Klyachko},
journal= {arXiv preprint arXiv:2006.15523},
year = {2021}
}
备注
4 pages. V.2: A misprint corrected, thanks to the referee. A Russian version of this paper is at http://halgebra.math.msu.su/staff/klyachko/papers.htm