链条件对有限群结构的影响
The Influence of the Chain Conditions on the Structure of Finite Groups
摘要: 主要利用主对角子群的嵌入性质以及相应的链条件给出有限群超可解性的刻画。此外,还刻画了满足链条件的有限群的极大子群。
Abstract: The hyper-solvability of finite groups is characterized primarily by employing embedding properties of chief diagonal subgroups and the corresponding chain conditions. In addition, maximal subgroups of finite groups satisfying chain conditions are also characterized.
文章引用:曾瑜柔, 黄泓珲. 链条件对有限群结构的影响[J]. 理论数学, 2026, 16(3): 57-60. https://doi.org/10.12677/pm.2026.163068

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