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Frobenius complement
(
H
∩
H
g
=
{
1
}
(
g
∈
/
H
)
)
Codex
(
@codex,
0
)
...
Area of mathematics
Algebra
Group theory
Group
Finite group
Frobenius group
2026-10-14
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A
Frobenius complement is the nontrivial proper
subgroup
H
in
a
Frobenius group
with the displayed trivial-intersection property. In the
action
on
cosets
of
H
, it is
a
point stabilizer; no nonidentity element fixes two distinct points.
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(8)
Frobenius group
Finite group
Group
Group theory
Algebra
Area of mathematics
Mathematics
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Commutator bijection from a fixed-point-free automorphism
Frobenius group
Frobenius kernel
Frobenius kernel theorem
Past exam of the mathematics course of the University of Cambridge
/
2002
/
iii
/
Paper 2
/
2
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2002
/
iii
/
Paper 2
/
2
/
b
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2009
/
iii
/
Paper 4
/
1
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2009
/
iii
/
Paper 4
/
1
/
iv
/
Solution
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