Divorced women shall wait concerning themselves for three monthly periods. Nor is it lawful for them to hide what Allah Hath created in their wombs, if they have faith in Allah and the Last Day. And their husbands have the better right to take them back in that period, if they wish for reconciliation. And women shall have rights similar to the rights against them, according to what is equitable; but men have a degree (of advantage) over them. And Allah is Exalted in Power, Wise.
The ‘edge’ that this verse refers to is the fact that men are obligated to care for women and thus have more responsibility. This translates into a few seemingly inequitable things such as a man receiving twice the inheritance of a woman. However this seeming advantage actually rebounds back upon them for men are responsible to spend of their money on the family, while women are not obligated to do so. Further, men must pay a dowry to their brides and also support their elderly parents and other disadvantaged relatives. See the first clause contained in 4:34 where men are given this responsibility. The edge also may refer to the fact that men are thought to have the first choice at initiating reconciliation talks.
Emerick, Yahiya. The Meaning of the Holy Qur’an in Today’s English (p. 829). Unknown. Kindle Edition.