Sentence: "Wenn Sie fertig sind, legen Sie die Karte verdeckt auf den Tisch und schieben Sie der Person ihrer Rechten zu"
Question: in the last part of the sentence, why is it it "Ihrer Rechten" and not "Ihr Recht". I cannot understand the declension rules for these two words. If I understand correctly, "der Person" is the indirect object here and "ihrer" is referring back to the subject "Sie". I'm confused about what case applies to "Ihrer Rechten" and why it is declined in this way.
Any help would be greatly appreciated :)