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If you are an EEA member state national (which you are if you have a greek passport) then she will have to obtain an EEA family permit first.
She will have to apply for and obtain an EEA family permit in order to secure her leave to remain in the UK to work. She will need to apply for it before she can travel . The government webpage containing information and links for how she can do this is here:-
Once she has come to the UK on her family permit she will be eligible to apply to the home office for a residence card which confirms her right of residence in the UK for 5 years on the basis of your marriage:-
At the end of this time she will be able to apply for a Permanent Residence here if she wishes and has not spent significant time outside the UK.
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