Minimal Non-nilpotent and Locally Nilpotent Fusion Systems  

作　　者：Jun Liao Yanjun Liu 

机构地区：[1]School of Mathematical Sciences, Peking University, Beijing 100871, China [2]College of Mathematics and Information Science, Jiangxi Normal University Nanchang 330022, China

出　　处：《Algebra Colloquium》2016年第3期455-462,共8页代数集刊（英文版）

基　　金：Supported by the National 973 Project （452101650122） and the National Natural Science Foundation of China （11201194, 11301393）. In addition, the second author was supported by the doctoral foundation of Jiangxi Normal University.

摘　　要：The main purpose of this note is to show that there is a one-to-one corre- spondence between minimal non-nilpotent （resp., locally nilpotent） saturated fusion sys- tems and finite p J-core-free p-constrained minimal non-nilpotent （resp., locally p-nilpotent） groups.The main purpose of this note is to show that there is a one-to-one corre- spondence between minimal non-nilpotent （resp., locally nilpotent） saturated fusion sys- tems and finite p J-core-free p-constrained minimal non-nilpotent （resp., locally p-nilpotent） groups.

关 键 词：saturated fusion system minimal non-nilpotent locally nilpotent p-con-strained 

分 类 号：O153.3[理学—数学] TP212[理学—基础数学]