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Order of a general linear group over a finite field
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Mathematics
Area of mathematics
Algebra
Group theory
Finite group theory
General linear group over a finite field
Created
2026-09-24
Updated
2026-10-06
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Choosing linearly independent columns successively gives
∣
G
L
n
(
F
q
)
∣
=
(
q
n
−
1
)
(
q
n
−
q
)
⋯
(
q
n
−
q
n
−
1
)
=
q
n
(
n
−
1
)
/2
∏
k
=
1
n
(
q
k
−
1
)
.
(1)
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General linear group over a finite field
Finite group theory
Group theory
Algebra
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2002
/
iii
/
Paper 1
/
5
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2007
/
ib
/
Paper 3
/
1G
/
Solution
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