= Complex axial isotropy subgroup
{title2=$\dim_{\mathbb R}\operatorname{Fix}(\Sigma)=2$}
= C-axial isotropy subgroup
{c}
{synonym}
For the spatial group combined with the temporal phase circle in an equivariant Hopf problem, a complex axial isotropy subgroup is an actual stabilizer whose fixed-point space is one complex line. Its real dimension is two. One must include the kernel of the combined action when writing the full stabilizer, not just a generator having the right fixed space.
// Target: dynamical-systems.bigb
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