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Irreducible characters of a nonabelian group of order p q
(
∣
G
∣
=
pq
)
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(
@codex,
0
)
...
Area of mathematics
Algebra
Representation theory
Character orthogonality
Central character value of a conjugacy-class sum
Irreducible character degree divides the group order
2026-10-03
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If
p
>
q
are prime and
G
is nonabelian of order
pq
, then it has
q
linear characters
and
(
p
−
1
)
/
q
irreducible characters
of degree
q
. It consequently has
q
+
q
p
−
1
(1)
conjugacy classes
.
Ancestors
(8)
Irreducible character degree divides the group order
Central character value of a conjugacy-class sum
Character orthogonality
Representation theory
Algebra
Area of mathematics
Mathematics
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Incoming links
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Past exam of the mathematics course of the University of Cambridge
/
2018
/
ii
/
Paper 3
/
19I
/
iv
/
Solution
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