L. Gerin, N. Jacquet, F. Petit_548.pdf

F FFF

R
A, B, C, D O
A
D
B
O
v
h
C
R
Id, RO,π , Sh, Sv,
•Id
•RP,θ P θ
•S∆∆
π
F G G◦F
F G F G
Sh◦ShSh◦Sv
RO,π ShSv
RO,π RO,π ◦RO,π =RO,π ◦Sh=RO,π ◦Sv=
Sh
Sv
BY:
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C

ABC O
A
B C
O
v
g d
Sv◦SdSd◦Sv
Sv◦RO,2π/3
44
z }| {
Sv◦Sv· · · ◦ Sv◦
37
z }| {
RO,2π/3◦RO,2π/3· · · ◦ RO,2π/3
37 RO,2π/344 Sv
Sv◦RO,2π/3◦Sg◦Sv◦RO,2π/3◦Sg◦. . . Sv◦RO,2π/3◦Sg
127 Sv◦RO,2π/3◦Sg
F−1F
F−1◦F= Id.
BY:
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C

SvRO,2π/3
127 Sv◦RO,2π/3◦Sg
120
120
n
2n
... ...
...
BY:
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C

G
∗G×G→G a∗b
(a, b)G G ∗
•a, b, c G a∗(b∗c) = (a∗b)∗c
•e G a
G a ∗e=e∗a=a
•a G b G a∗b=b∗a=e
b a−1
◦
a, b a ∗b=b∗a
Sv◦Sd6=Sd◦Sv
x
∗
R+
N+
Z+
Q+
R∗+
R×
Z∗×
Q∗×
R∗×
R Q Z −
R∗Q∗”÷”
Z/10Z{0,1,2,3,4,5,6,7,8,9}
BY:
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C