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If H is a subgroup of a finite group G, and if IGI=m*IHI,prove that g^m! is a element of H for all g from G.

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Ë­¸ºÉØ»ª: ½ð±Ò+5, ¡ï¡ï¡ï¡ï¡ï×î¼Ñ´ð°¸ 2013-09-24 20:30:41
Hg, Hg^2, ... Hg^m Èç¹û²»µÈÓÚH£¬ ÄÇÖÁÉÙÓÐÁ½¸öÏàµÈ£¬ ´Ó¶øg^kij¸ök£¬ÊÇÊôÓÚH¡£
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We_must_know. We_will_know.
3Â¥2013-08-30 13:20:00
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2Â¥: Originally posted by zenmebuxing at 2013-08-30 13:11:55
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5Â¥2013-08-31 09:49:34
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3Â¥: Originally posted by hank612 at 2013-08-30 13:20:00
Hg, Hg^2, ... Hg^m Èç¹û²»µÈÓÚH£¬ ÄÇÖÁÉÙÓÐÁ½¸öÏàµÈ£¬ ´Ó¶øg^kij¸ök£¬ÊÇÊôÓÚH¡£
×¢Òâµ½ 1<= k <=m, ¶ø m!ÊÇËùÓÐÕâЩÊýµÄ¹«±¶Êý£¬ ½áÂÛ³ÉÁ¢¡£

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