自由投射积的前可解子群
群论
2024-11-20 v2 数论
摘要
我们通过加强 Frorian Pop 的定理并回答 K. Ersoy 和 W. Herfort 的两个问题，描述了投射有限群自由积的自由前可解子群。相对投射的前可解群也被描述。
引用
@article{arxiv.2312.09315,
title = {Prosoluble subgroups of free profinite products},
author = {Pavel Zalesskii},
journal= {arXiv preprint arXiv:2312.09315},
year = {2024}
}
备注
Theorem 1.5 of this version is proved within slightly more general definition of relative projectivity (see Definition 5.1.1 in D. Haran and M. Jarden, The absolute Galois Group of a Semi-local Field, Springer, 2021) than in the version to appear in Forum of Mathematics, Sigma