Al-Sha'bi (may Allah have mercy on him) narrates from Sayyiduna Abdullah (may Allah be pleased with him) that divorce is connected with men, while the waiting period is connected with women.
This is how I found it in the original copy of his book, and it is not mahfuz (preserved).
Hadith Referenceالسنن الكبرى للبيهقي / كتاب الرجعة / 15176