· G
"a, b, c " G a(bc) = (ab)c
"e " G "a " G ea = a
"a " G "b " G ba = e
(G, ·)
aa-1 = (a-1)-1a-1aa-1
G
a " G
"a, b " G (ab)-1 = b-1a-1
"a, b, c " G ab = ac b = c
S3
p Zp - {0} p
Sn Ô! n d" 2
1 2 ... n
à =
a1 a2 ... an
-1
a1 a2 ... an 1 2 3 4 5
Ä =
1 2 ... n 2 1 4 5 3
Ä…, ² " Sn Ä…² = ²Ä…
à m m X Ô!
"x, y " X "k " Z x = Ãk(y)
1 2 3 4 5 6 7 1 2 3 4 5
, ,
6 5 1 4 2 3 7 2 1 4 5 3
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