具有若干散在 J-分量的融合系统
群论
2021-04-15 v3
摘要
Aschbacher 关于素数 2 处“奇”型单融合系统分类的程序有两个主要阶段:子本征分量型的 2-融合系统分类,以及 J-分量型的 2-融合系统分类。我们通过分类在假设该分量的中心化子是循环的条件下、具有与若干散在群的 2-融合系统同构的 J-分量的 2-融合系统,对后一阶段作出了贡献。
引用
@article{arxiv.1605.04615,
title = {Fusion systems with some sporadic J-components},
author = {Justin Lynd and Julianne Rainbolt},
journal= {arXiv preprint arXiv:1605.04615},
year = {2021}
}
备注
v2: minor corrections in response to anonymous referee report; v3: Theorem 1.2 has been removed due to a error in Lemma 8.22 of v2. The results of v2, Sect. 3 and 8 will appear elsewhere. Additional substantial fixes