有限生成阿贝尔群圈积的共轭深度函数上界
群论
2024-02-14 v4
摘要
在本文中，我们研究阿贝尔群圈积的共轭可分性的渐近行为。我们完全刻画了灯夫群情形下的渐近类，并给出了广义灯夫群的指数型上界与下界。在底群为无限的情形下，我们给出了超指数型的下界与上界。我们应用所得结果，对作用群非阿贝尔的各类群圈积，给出了其共轭深度函数的下界。
引用
@article{arxiv.2201.06165,
title = {Bounding conjugacy depth functions for wreath products of finitely generated abelian groups},
author = {Michal Ferov and Mark Pengitore},
journal= {arXiv preprint arXiv:2201.06165},
year = {2024}
}
备注
33 pages. Published in journal of Groups, Complexity, Cryptology. arXiv admin note: substantial text overlap with arXiv:2111.14722