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3Â¥: Originally posted by hank612 at 2015-10-12 21:46:16
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3Â¥2015-10-12 21:46:16
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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/

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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.
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