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2-Sylow子群的阶及元素最高阶与次高阶与A9相同的有限群
引用本文:于宝娟,吴莲,陈贵云.2-Sylow子群的阶及元素最高阶与次高阶与A9相同的有限群[J].西南师范大学学报(自然科学版),2020,45(2):1-6.
作者姓名:于宝娟  吴莲  陈贵云
作者单位:西南大学 数学与统计学院, 重庆 400715
基金项目:国家自然科学基金项目(11671324).
摘    要:讨论2-Sylow子群的阶,以及元素的最高阶元的阶、次高阶元的阶与A_9相同的有限群,得出了这类群的若干必要性质.

关 键 词:2-Sylow子群  最高阶元的阶  次高阶元的阶  群结构
收稿时间:2019/4/22 0:00:00

Finite Groups with the Order of Its 2-Sylow Subgroup, the Largest and Second Largest Element Orders Being the Same as Those of A9
YU Bao-juan,WU Lian,CHEN Gui-yun.Finite Groups with the Order of Its 2-Sylow Subgroup, the Largest and Second Largest Element Orders Being the Same as Those of A9[J].Journal of Southwest China Normal University(Natural Science),2020,45(2):1-6.
Authors:YU Bao-juan  WU Lian  CHEN Gui-yun
Institution:School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
Abstract:The finite group with the same order of its 2-Sylow subgroup and the same largest element order and the same second largeat element order as those of A9 have been discussed in this paper. And some necessary properties have been given.
Keywords:2-Sylow subgroup  the largest element order  the second largest element order  group structure
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