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:<math>(g \circ h)^{\omega} = g^{\omega} \circ h^{\omega} \quad \forall \omega \in \Omega, \forall g,h \in G</math>.
A [[subgroup]] <math>S</math> of <math>G</math> is called '''stable subgroup''', <math>\Omega</math>-'''subgroup''' or <math>\Omega</math> '''invariant subgroup''' if it respects the hometheties, that is
:<math>\forall s \in S, \forall \omega \in \Omega : s^\omega \in S</math>
== Notes ==
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