[代數] 問一些GRE SUB的問題

看板Math作者 (免錢沒人愛@@)時間14年前 (2011/10/14 22:27), 編輯推噓4(4推 0噓 4→)
留言8則, 5人參與, 最新討論串1/1
a,b belong to group G both have finite orders. A. if ab=ba, then ab has finite order B. if ab has finite order, then ba has finite order C. if ab has finite order then a^(-1)b^(-1) has finite order which of them are correct? 一個有乘法單位的環只有兩個右理想 則 1.是交換的2是可除的3 無限的 which of them are correct? One more question, up to isomorphism, how many additive abelian group G of order 16 have the property that x+x+x+x=0 for each x in G? A. 0. B. 1. C. 2. D. 3. E. 5 都是代數的問題 明天要考了,請高手指點 謝謝 -- ※ 發信站 :批踢踢實業坊(ptt.cc) ◆ From: 76.124.186.180 ※ 編輯: Hshs 來自: 76.124.186.180 (10/14 22:27)
推
10/14 22:55, , 1F
我只能救第一題因為代數很弱
10/14 22:55, 1F
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10/14 22:56, , 2F
a^n=1 & b^m=1 then (ab)^(nm)=(a^n)^m*(b^m)^n=1
10/14 22:56, 2F
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10/14 22:57, , 3F
第一題應該是BC對吧
10/14 22:57, 3F
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10/14 22:58, , 4F
傻了= =
10/14 22:58, 4F
推
10/14 23:26, , 5F
1. BC, 2. 2 ,3. D
10/14 23:26, 5F
推
10/15 00:20, , 6F
剛剛才看到 a,b 有 finite order...那A也對XDrz
10/15 00:20, 6F
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10/15 04:43, , 7F
來個機經: Z2xZ2 的 automorphism groups =?
10/15 04:43, 7F
推
10/15 10:40, , 8F
GRE SUB別想太多 題目來傻傻去做就對了
10/15 10:40, 8F
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文章代碼(AID): #1Ec4R48d (Math)