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(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 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 115.43.146.210
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