带选择图的图与构造有界生成且有界单群的方法
群论
2022-03-28 v4
摘要
本文证明了存在一个无限单的有界生成双生成群，以及一个包含非循环自由子群的有界单双生成群。
引用
@article{arxiv.math/0404472,
title = {Diagrams with Selection and Method for Constructing Boundedly Generated and Boundedly Simple Groups},
author = {Alexey Muranov},
journal= {arXiv preprint arXiv:math/0404472},
year = {2022}
}
备注
version 4; 40 pages, 1 figure; an error in the statement of Theorem 1 is corrected (the set $S$ should not be allowed to contain proper powers); v3: a flaw in the proof of the main theorem is corrected (the assumtions of maps' being non-exceptional are removed from the hypotheses of Estimating Lemma 1 and Inductive Lemma 2)