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夜雨聆风 > > 办公文件 > 群论习题解 | 1.3/1.4 交换群和非交换群 — Fraleigh《抽象代数基础教程》

群论习题解 | 1.3/1.4 交换群和非交换群 — Fraleigh《抽象代数基础教程》

当前时间： 2026-07-03 05:41:42 分类：办公文件 评论(0)
群论习题解 | 1.3/1.4 交换群和非交换群 — Fraleigh《抽象代数基础教程》

群论习题解 | 1.3/1.4 交换群和非交换群  — Fraleigh《抽象代数基础教程》

本文为 Fraleigh《抽象代数基础教程》1.3 和1.4 两小节的习题解答。本章内容在群的定义基础上进一步讨论常见的交换群（阿贝尔群）和非交换群的结构与性质，是理解后续子群、循环群等进阶概念的重要铺垫。建议在完成 第四讲群的例子课堂笔记的学习后再阅读。

关于教材及译本说明，请参见本系列群论习题解 | 第0章 — Fraleigh《抽象代数基础教程》中的详细介绍。

进一步交流请添加微信：Spray_heart。我们建立了一个四川省数学竞赛学生和家长交流群。群内有金牌学长和金牌教练在线答疑、讨论交流。欢迎大家扫码加入，共同进步！

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  143. /yingpanguazai/ssd/ssd1/www/wwww.yeyulingfeng.com/vendor/topthink/think-template/src/template/contract/DriverInterface.php ( 0.86 KB )
  144. /yingpanguazai/ssd/ssd1/www/wwww.yeyulingfeng.com/runtime/temp/c935550e3e8a3a4c27dd94e439343fdf.php ( 31.50 KB )
  145. /yingpanguazai/ssd/ssd1/www/wwww.yeyulingfeng.com/vendor/topthink/think-trace/src/Html.php ( 4.42 KB )
  1. CONNECT:[ UseTime:0.000571s ] mysql:host=127.0.0.1;port=3306;dbname=wenku;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.000861s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.017071s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.000314s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.000799s ]
  6. SELECT * FROM `set` [ RunTime:0.000305s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.000708s ]
  8. SELECT * FROM `article` WHERE `id` = 830705 LIMIT 1 [ RunTime:0.000402s ]
  9. UPDATE `article` SET `lasttime` = 1783030041 WHERE `id` = 830705 [ RunTime:0.026730s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 64 LIMIT 1 [ RunTime:0.000326s ]
  11. SELECT * FROM `article` WHERE `id` < 830705 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.000553s ]
  12. SELECT * FROM `article` WHERE `id` > 830705 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.000443s ]
  13. SELECT * FROM `article` WHERE `id` < 830705 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.001177s ]
  14. SELECT * FROM `article` WHERE `id` < 830705 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.000862s ]
  15. SELECT * FROM `article` WHERE `id` < 830705 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.003084s ]
0.155846s