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Camon

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2Â¥2015-10-12 20:23:13
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hank612

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3Â¥2015-10-12 21:46:16
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Camon

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

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4Â¥2015-10-12 23:30:29
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hank612

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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£¿
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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
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Camon

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ÒýÓûØÌû:
5Â¥: Originally posted by hank612 at 2015-10-13 00:29:19
https://ysharifi.wordpress.com/2011/09/20/finite-subgroups-of-the-multiplicative-group-of-a-division-ring/

¸ÃÁ¬½ÓÓÐÈý¸ö½áÂÛ, ×ÜÓÐÒ»¿îÊʺÏÄã.  
Theorem. Every finite subgroup of the multiplicativ ...

Ì«¸ÐлÁË£¡ÎÒ»áÈÏÕæ¿´µÄ^_^
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6Â¥2015-10-13 00:34:23
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hank612

ÖÁ×ðľ³æ (ÖøÃûдÊÖ)

ÒýÓûØÌû:
6Â¥: Originally posted by Camon at 2015-10-13 00:34:23
Ì«¸ÐлÁË£¡ÎÒ»áÈÏÕæ¿´µÄ^_^
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7Â¥2015-10-13 00:37:59
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