Burnside定理的推广
A Generalization of Burnside’s Theorem
DOI: 10.12677/pm.2025.1511282, PDF,   
作者: 王兆权:青岛滨海学院文理基础学院,山东 青岛
关键词: 转移p-幂零群分配映射Transfer p-Nilpotent Groups Distributive Mappings
摘要: 通过引入分配子,研究了由分配映射诱导的映射,得到了转移的等价刻画,给出了转移与存在正规补之间的联系。作为应用,推广了著名的Burnside定理。
Abstract: Distributors are introduced to investigate the mappings induced by distributive maps. Equivalent characterizations of the transfer are obtained. Connections between the transfer and the existence of normal complements are established. As an application, the well-known Burnside theorem is generalized.
文章引用:王兆权. Burnside定理的推广[J]. 理论数学, 2025, 15(11): 214-219. https://doi.org/10.12677/pm.2025.1511282

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