黄金平均汤普森群的 Sigma 不变量
群论
2025-06-10 v2
摘要
我们使用 Bieri、Geoghegan 和 Kochloukova 的方法计算无理斜率汤普森群 的 BNSR-不变量。为此，我们建立了 Sigma 不变量与有限指数子群的不变量一致的若干条件，从而解决了 Strebel 提出的一个问题。
引用
@article{arxiv.2309.12213,
title = {The Sigma invariants for the Golden Mean Thompson group},
author = {Lewis Molyneux and Brita Nucinkis and Yuri Santos Rego},
journal= {arXiv preprint arXiv:2309.12213},
year = {2025}
}
备注
19 pages. v2: Major revision after referee's comments, corrected inacurracies/inconsistencies throughout the text, improved proof of the main theorem, restated results on Sigma invariants and characters for clarity, expanded on related work. Final version, to appear in the New York Journal of Mathematics