作者loribank (小蘿莉銀行)
看板Math
標題[代數] 請教一題normal subgroup
時間Sat Mar 12 11:30:27 2011
(1)Show that the Klien group K={e,(1 2)(3 4),(1 3)(2 4),(1 4)(2 3)}
is a normal subgroup of A_4 and S_4.
(2)Show that K is a subgroup of A_5, but is not normal sublgroup of A_5.
謝謝
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推 recorriendo :K中除了e外都是兩個cycle相乘 用S_4的元素conjugate 03/12 12:48
→ recorriendo :仍然是兩個cycle相乘 因此仍然屬於K 其餘類似 03/12 12:49
→ loribank :感謝,我後來有做出來了!!!! 03/13 18:00