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Se Vükiped: sikloped libik
In
matemat
,
Grup
binon konlet G ko sekät
⋅
:
G
×
G
→
G
{\displaystyle \ \cdot :G\times G\to G}
kel:
Pro alik
a
,
b
,
c
∈
G
{\displaystyle a,b,c\in G}
,
a
⋅
(
b
⋅
c
)
=
(
a
⋅
b
)
⋅
c
{\displaystyle a\cdot (b\cdot c)=(a\cdot b)\cdot c}
.
Dabinon
e
∈
G
{\displaystyle e\in G}
,
e
⋅
a
=
a
⋅
e
=
a
{\displaystyle e\cdot a=a\cdot e=a}
pro alik
a
∈
G
{\displaystyle a\in G}
. (dilet dientifik)
Pro alik
a
∈
G
{\displaystyle a\in G}
, dabinon
a
−
1
∈
G
{\displaystyle a^{-1}\in G}
,
a
⋅
a
−
1
=
e
{\displaystyle a\cdot a^{-1}=e}
sams grupa
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