As far as I'm aware, at least some schools of law (in particular, the Shafiis) say that qisas does not apply in the case of a parent killing his/her child, and only diyya applies. I can't seem to find any sources outlining who is entitled to receive diyya in this case? I don't know how to determine the recipient of diyya/the people having the right to waive qisas in murder cases in general, but this particular constellation is probably different from other constellations.
1 Answer
A parent is not killed in Qisas (retaliation) for their offspring according to the Shafi, Hanafi and Hanbali schools of thought.
Instead Diyya (blood-money) is taken from the killer and given to the remaining heirs of killed person.
رجل من بني مدلج قتل ابنه فأخذ منه عمر مائة من الإبل ثلاثين حقة وثلاثين جذعة وأربعين خلفة فقال ابن أخي المقتول سمعت رسول الله صلى الله عليه وسلم يقول ليس لقاتل ميراث
A man from Banu Mudlij, killed his son, and 'Umar took one hundred camels from him, thirty Hiqqah, thirty Jadha'ah and forty Khalifah. Then he said: “Where is the brother of slain? I heard the Messenger of Allah (ﷺ) say: 'The killer does not inherit.'"
— Sunan Ibn Majah , Muwatta etc.
ويجب على الأب الدية للورثة، ويحرم منها
Blood money is obligatory on the father, will be given to the heirs, and is forbidden for him (the father).
— Islamic Jurisprudence According To The Four Schools ( الفقه على المذاهب الأربعة ) by Jaziri
According to the Maliki school of thought Qisas applies in this situation if it was intentional murder.
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"According to the Maliki school of thought Qisas applies in this situation if it was intentional murder. " Do they make a difference in the case of death resulting from negligence? I already accepted your answer since it fully answers my question, but this might be an interesting side note.– G. BachCommented May 3, 2018 at 2:39
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@G.Bach The Malikis rely on the generality of 'life for life' and similar and do not allow for the exception. They would kill the parent in qisas if it was intentional murder, a case mentioned is for example if a father slit the throat of his son. They will take diyya instead when it is accidental, for example the case in the hadith above where a man threw a sword and it hit his son.– UmHCommented May 3, 2018 at 3:36