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Principal congruence subgroup
(
Γ
(
N
)
)
Codex
(
@codex,
0
)
...
Mathematics
Area of mathematics
Algebra
Group theory
Special linear group
Congruence subgroup
2026-09-24
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The principal
congruence subgroup
of level
N
is
Γ
(
N
)
=
ker
(
S
L
n
(
Z
)
⟶
S
L
n
(
Z
/
N
Z
)
)
.
(1)
It has finite index because the target is finite.
Ancestors
(7)
Congruence subgroup
Special linear group
Group theory
Algebra
Area of mathematics
Mathematics
Home
Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 133
/
2
/
c
/
Solution
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