DHAKA, Bangladesh — The police detained three men early Sunday in connection with the killing of a Hindu tailor, the latest in a series of hacking deaths in the country. Islamist militants are believed to be responsible for most of the killings.

The police in the Tangail district, where the tailor was killed around noon on Saturday, also recovered a bloodstained shirt that they believe one of the killers removed as he fled, Mohammad Aslam Khan, a senior police official in the district, said in a telephone interview. The police in Tangail, in central Bangladesh, have no idea who committed the attack, Mr. Khan said.

The tailor, Nikhil Chandra Joarder, 52, died after three people attacked him with sharp objects outside his shop in Gopalpur, an area in Tangail, the police said.

Mr. Khan said the detained men were Rafiqul Islam Badsha, 50, the secretary of the local affiliate of Jamaat-e-Islami, an opposition party and the country’s largest Islamist party; Jhontu Mia, a local activist with the Bangladesh Nationalist Party, another opposition party, which has held power in the past; and Moulana Aminul Islam, the principal of the local madrasa.