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Group theory 群论中英字幕菲尔兹奖得主 Richard E. BORCHERDS

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2022-04-08 20:38:42

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收集整理自1998年菲尔兹奖得主Richard E. BORCHERDS的频道：https://www.youtube.com/channel/UCIyDqfi_cbkp-RU20aBF-MQ/playlists 课程均分为生肉版本与中英字幕版本发布，包含代数几何、群论、交换代数、伽罗瓦理论、李群、数论、群环域、流形、复分析、代数拓扑等。可于个人主页或个人收藏夹快速查找。本课程录制于2020年春。

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一个低俗的up，官方认证低俗限流。喜欢林果儿。偶尔开开数学课（留学生/考研竞赛为主）、理论力学课。QQ：1348601186注明来意

0. Richard E. BORCHERDS

00:51

01. Group theory 1 Introduction

20:49

02. Group theory 2 Cayley's theorem

27:49

03. Group theory 3 Homomorphisms

18:03

04. Group theory 4 Lagrange's theorem

28:38

05. Group theory 5 products

29:51

06. Group theory 6 normal subgroups and quotient groups

24:48

07. Group theory 7 Semidirect products

21:41

08. Group theory 8 Extensions

14:06

09. Group theory 9 Quaternions

20:47

10. Group theory 10 Burnside's lemma

19:32

11. Group theory 11 Groups of prime power order

15:28

12. Group theory 12 Cauchy's theorem

22:49

13. Group theory 13 Dihedral groups

21:58

14. Group theory 14 Sylow theorems

19:45

15. Group theory 15Groups of order 12

19:57

16. Group theory 16 Automorphisms of cyclic groups

30:46

17. Group theory 17 Finite abelian groups

25:42

18. Group theory 18 Nilpotent groups

16:57

19. Group theory 19 Wreath products

20:48

20. Group theory 20 Frobenius groups

12:18

21. Group theory 21 Groups of order 24

20:17

22. Group theory 22 Symmetric groups

29:33

23. Group theory 23 Coxeter Todd algorithm

25:15

24. Group theory 24 Extra special groups

31:11

25. Group theory 25 The transfer homomorphism

25:50

26. Group theory 26 Too many p groups

12:47

27. Group theory 27 The icosahedral group

26:58

28. Group theory 28 Groups of order 120, 168

13:40

29. Group theory 30 Outer automorphisms

24:44

30. Group theory 29The Jordan Holder theorem

18:50

31. Group theory 31 Free groups

27:10

32. Group theory 32 Subgroups of free groups

21:27

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