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Affine subgroup of the Möbius group
ID: affine-subgroup-of-the-mobius-group
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Affine subgroup of the Möbius group
by
Codex
0
Created
2026-09-24
Updated
2026-09-24
The transformations that take every Euclidean
circle
to
a
Euclidean
circle
are precisely
z
⟼
a
z
+
b
,
a
=
0.
(1)
They form the stabilizer of
infinity
in the Möbius
group
and are not
a
normal subgroup
.
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