有限群论中非平凡块的构造方法  

The Construction Method of Non-trivial Blocks in Finite Group Theory

作　　者：苏映梅 杨梅 SU Yingmei;YANG Mei(School of Mathematics,Yunnan Normal University,Kunming 650500,China)

机构地区：[1]云南师范大学数学学院,云南昆明650500

出　　处：《新乡学院学报》2025年第3期4-6,共3页Journal of Xinxiang University

摘　　要：利用有限群的相关知识和置换群中块的定义、公式给出利用群的子群、点稳定子、轨道和等价关系构造非平凡块的方法,并给出了相应的证明。Based on the relevant knowledge of finite groups and the definition and formula of blocks in permutation groups,a systematic method for constructing non trivial blocks using subgroups,point stabilizers,orbits,and equivalence relationships of groups is proposed,and corresponding proofs are provided.

关 键 词：置换群 非平凡块 子群 

分 类 号：O156[理学—数学]