monogyny noun. 
[mǝ'nɒdʒɪni] L19.[from Greek MONO- + gunē woman, wife: see -Y3.]The practice or custom of mating with only one female, or of having only one wife at a time.
 ■   monogynist noun a person who practises or advocates monogyny 
L19.  [TahlilGaran] English Dictionary ▲