[代數] 證abelian group

看板Math作者 (We)時間14年前 (2011/06/13 12:47), 編輯推噓0(003)
留言3則, 2人參與, 最新討論串1/2 (看更多)
請問 如何證明 │G│<= 5 則 G is abelian (<= 是小於等於) 謝謝 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 220.134.181.185

06/13 16:42, , 1F
1→trivial ,2、3、5→prime order ,4=2^2→prime^2
06/13 16:42, 1F

06/13 16:42, , 2F
they are all cyclic → abelian
06/13 16:42, 2F

06/14 01:42, , 3F
wrong. Z2+Z2 has order 4 but not cyclic
06/14 01:42, 3F
文章代碼(AID): #1DzPPdOY (Math)
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文章代碼(AID): #1DzPPdOY (Math)