对称群S₆的一个新刻画

对称群S 6 的一个新刻画 A New Characterization of Symmetric Group S 6 黄本文 HUANG Ben\|wen 1 first-author 武汉大学数学与计算机科学学院/软件工程国家重点实验室,武汉,430072 武汉大学数学与计算机科学学院/软件工程国家重点实验室,武汉,430072 College of Mathematics and Computer Science/State Key Laboratory of Software Engineering,Wuhan University College of Mathematics and Computer Science/State Key Laboratory of Software Engineering,Wuhan University 利用电子计算机计算，获得了对称群 Ｓ６ 的下列重要性质：１） Ｓ６ 共有 ７５ 个２ 阶子群，可分为 ３ 个共轭类；２） Ｓ６ 有 ４０ 个３ 阶子群，可分为 ２ 个共轭类；３） Ｓ６ 有２５５ 个 ４ 阶子群，可分为７ 个共轭类 In this paper, important properties of symmetric group S 6 are obtained through the method of calculation the main nsults are described as the following: 1) There are seventy five subgroups of order two and three conjugate classer in S 6 . 2) There are forty subgroups of order three and two cojugate classes in S 6 . 3) There are two hundred and fifty five subgroups of order four and seven conjugate classes in S 6 . 对称群 子群 计算机 程序 symmetric group subgroup computer program O152.1r# 湖北省自然科学基金(2017CFA007) 1999-03-01 2021-04-01 3