As far as I know, "married" (man) is женатый (short form женат) and "married" (woman) is замужняя (short form замужем).
Likewise, the verb "to marry" with a man as the subject is жениться/пожениться and with a woman as the subject, it becomes выходить замуж/выйти замуж.
But, is there a generic word for both genders? How can I say "they got married"?
I've heard of "Они поженились", but I'm not sure.