²é¿´: 1356  |  »Ø¸´: 6
µ±Ç°Ö»ÏÔʾÂú×ãÖ¸¶¨Ìõ¼þµÄ»ØÌû£¬µã»÷ÕâÀï²é¿´±¾»°ÌâµÄËùÓлØÌû

Camon

гæ (³õÈëÎÄ̳)

[ÇóÖú] ÓÐÏÞAbelȺµÄÒ»´Î¸´±íʾ

ÇëÎÊÈçºÎÖ¤Ã÷ÈôÓÐÏÞAbelȺGÓÐÒ»¸öÖÒʵµÄÒ»´Î¸´±íʾ£¬ÔòGÊÇÑ­»·Èº£¿
·Ç³£¸Ðл£¡

·¢×ÔСľ³æIOS¿Í»§¶Ë
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

hank612

ÖÁ×ðľ³æ (ÖøÃûдÊÖ)

ÖÒʵÒâζ×ÅGºÍCµÄÒ»¸öÓÐÏÞ×ÓȺͬ¹¹¡£ÈκÎÌåµÄÓÐÏÞ½»»¹×ÓȺ¶¼Ñ­»·

·¢×ÔСľ³æIOS¿Í»§¶Ë
We_must_know. We_will_know.
3Â¥2015-10-12 21:46:16
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 7 ¸ö»Ø´ð

Camon

гæ (³õÈëÎÄ̳)

ûÓдóÉñ¿´ÎÒµÄÎÊÌâÂð£¿(??? ? ???)

·¢×ÔСľ³æIOS¿Í»§¶Ë
2Â¥2015-10-12 20:23:13
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

Camon

гæ (³õÈëÎÄ̳)

ÒýÓûØÌû:
3Â¥: Originally posted by hank612 at 2015-10-12 21:46:16
ÖÒʵÒâζ×ÅGºÍCµÄÒ»¸öÓÐÏÞ×ÓȺͬ¹¹¡£ÈκÎÌåµÄÓÐÏÞ½»»¹×ÓȺ¶¼Ñ­»·

¸Ðл´óÉñ£¡µÚÒ»¾ä»¹ÄÜ¿´¶®£¬µÚ¶þ¾ä»°¾Í²»¶®ÁË¡­‡å£¨¸Õ¿ªÊ¼Ñ§Èº±íʾ£©¡£ÇëÎÊÄÜÓÃdzÏÔһЩµÄÄÚÈÝÖ¤Ã÷Âð£¿

·¢×ÔСľ³æIOS¿Í»§¶Ë
4Â¥2015-10-12 23:30:29
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

hank612

ÖÁ×ðľ³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
4Â¥: Originally posted by Camon at 2015-10-12 23:30:29
¸Ðл´óÉñ£¡µÚÒ»¾ä»¹ÄÜ¿´¶®£¬µÚ¶þ¾ä»°¾Í²»¶®ÁË¡­‡å£¨¸Õ¿ªÊ¼Ñ§Èº±íʾ£©¡£ÇëÎÊÄÜÓÃdzÏÔһЩµÄÄÚÈÝÖ¤Ã÷Âð£¿
...

https://ysharifi.wordpress.com/2 ... of-a-division-ring/

¸ÃÁ¬½ÓÓÐÈý¸ö½áÂÛ, ×ÜÓÐÒ»¿îÊʺÏÄã.  
Theorem. Every finite subgroup of the multiplicative group of a field is cyclic.

Corollary 1. Every finite abelian subgroup of the multiplicative group of a division ring is cyclic.

Corollary 2.  Every finite subgroup of the multiplicative group of a division ring of non-zero characteristic is cyclic.

ÕâЩ½áÂÛ¶¼ÊǾ­µäµÃдµ½½Ì¿ÆÊéÉϵÄ, ÖµµÃÊìϤÒÔÏÂŶ.
We_must_know. We_will_know.
5Â¥2015-10-13 00:29:19
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[¿¼ÑÐ] 279·ÖÇóµ÷¼Á Ò»Ö¾Ô¸211 +17 chaojifeixia 2026-03-19 19/950 2026-03-23 23:26 by ´ô´ôʦ½ã
[¿¼ÑÐ] ²ÄÁÏר˶ÕÒµ÷¼Á +3 ¹þ¹þ¹þºðºðºð¹þ 2026-03-23 3/150 2026-03-23 23:13 by peike
[¿¼ÑÐ] ÉúÎïѧѧ˶Çóµ÷¼Á +4 СÑò˯×ÅÁË? 2026-03-23 4/200 2026-03-23 21:42 by hyzs6688
[¿¼ÑÐ] Ò»Ö¾Ô¸211 ³õÊÔ270·Ö Çóµ÷¼Á +4 ¹ÈÓêÉϰ¶ 2026-03-23 5/250 2026-03-23 21:18 by ²»»ó¿ÉÀÖ
[¿¼ÑÐ] ÉúÎïѧһ־Ը985£¬·ÖÊý349Çóµ÷¼Á +6 zxts12 2026-03-21 9/450 2026-03-23 18:37 by macy2011
[¿¼ÑÐ] Ò»Ö¾Ô¸ÉϺ£½»´óÉúÎïÓëҽҩר˶324·Ö£¬Çóµ÷¼Á +5 jiajunX 2026-03-22 5/250 2026-03-23 18:07 by YMUÊ©ÀÏʦ
[¿¼ÑÐ] Çóµ÷¼ÁÒ»Ö¾Ô¸Î人Àí¹¤´óѧ²ÄÁϹ¤³Ì£¨085601£© +3 WW.' 2026-03-23 5/250 2026-03-23 17:18 by ·ãÒíljj
[¿¼ÑÐ] 291 Çóµ÷¼Á +4 »¯¹¤2026½ì±ÏÒµÉ 2026-03-21 5/250 2026-03-23 16:46 by »¯¹¤2026½ì±ÏÒµÉ
[¿¼ÑÐ] ²ÄÁÏÓ뻯¹¤¿¼Ñе÷¼Á +4 ‹üÈA 2026-03-22 4/200 2026-03-23 16:13 by Ò»ÐݸçFU
[¿¼ÑÐ] 308Çóµ÷¼Á +3 īīĮ 2026-03-21 3/150 2026-03-22 16:54 by i_cooler
[¿¼ÑÐ] ¿¼Ñе÷¼Á +4 À´ºÃÔËÀ´À´À´ 2026-03-21 4/200 2026-03-22 12:15 by ÐÇ¿ÕÐÇÔÂ
[¿¼ÑÐ] 0703»¯Ñ§µ÷¼Á +4 ÄÝÄÝninicgb 2026-03-21 4/200 2026-03-21 18:39 by ѧԱ8dgXkO
[¿¼ÑÐ] 313Çóµ÷¼Á +4 ËÁÈþ·¡Ò¼22 2026-03-19 4/200 2026-03-21 17:33 by ColorlessPI
[¿¼ÑÐ] 299Çóµ÷¼Á +5 shxchem 2026-03-20 7/350 2026-03-21 17:09 by ColorlessPI
[¿¼ÑÐ] Äϲý´óѧ²ÄÁÏר˶311·ÖÇóµ÷¼Á +6 77chaselx 2026-03-20 6/300 2026-03-21 07:24 by JourneyLucky
[¿¼ÑÐ] 303Çóµ÷¼Á +5 î£08 2026-03-17 7/350 2026-03-21 03:11 by JourneyLucky
[¿¼ÑÐ] 083200ѧ˶321·ÖÒ»Ö¾Ô¸ôßÄÏ´óѧÇóµ÷¼Á +3 innocenceF 2026-03-17 3/150 2026-03-21 02:35 by JourneyLucky
[¿¼ÑÐ] Ò»Ö¾Ô¸ Î÷±±´óѧ £¬070300»¯Ñ§Ñ§Ë¶£¬×Ü·Ö287£¬Ë«·ÇÒ»±¾£¬Çóµ÷¼Á¡£ +3 ³¿»èÏßÓëÐǺ£ 2026-03-18 3/150 2026-03-21 00:46 by JourneyLucky
[¿¼ÑÐ] 22408 344·Ö Çóµ÷¼Á Ò»Ö¾Ô¸ »ªµç¼ÆËã»ú¼¼Êõ +4 solanXXX 2026-03-20 4/200 2026-03-20 23:49 by alg094825
[¿¼ÑÐ] Ò»Ö¾Ô¸ËÕÖÝ´óѧ²ÄÁÏÇóµ÷¼Á£¬×Ü·Ö315£¨Ó¢Ò»£© +5 sbdksD 2026-03-19 5/250 2026-03-20 22:10 by luoyongfeng
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û