Is a master permitted to implement the legal punishment (Hadd) by flogging upon his male or female slave?

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The majority of scholars permit the master to implement the flogging punishment (Hadd) upon his slave. This view is narrated from Ali, Ibn Mas'ud, Ibn Umar, Abu Humaid, Abu Usayd Al-Sa'idi, Fatimah the daughter of the Prophet (peace be upon him), 'Alqamah, Al-Aswad, Al-Zuhri, Hubeirah ibn Maryam, Abu Maysarah, Malik, Al-Thawri, Al-Shafi'i, Abu Thawr, and Ibn al-Mundhir. Evidence for this is found in the Prophet's saying to the effect: "If the female slave of one of you commits fornication and her guilt is confirmed, let him flog her without reprimanding her; if she does it again, let him flog her without reprimand; if she does it a third time, let him flog her without reprimand; and if she does it a fourth time, let him flog her and sell her, even for a clump of hair (Dhifir)." Furthermore, there is the narration from the Prophet (peace be upon him) that he said: "And establish the prescribed punishments upon those whom your right hands possess." This is supported by the principle that since the master has the authority to discipline and marry off his female slave, he also possesses the authority to implement the Hadd upon her, analogous to the Sultan, which distinguishes him from a minor.