Jamaat campaigned against Bangladesh's independencewar and has been accused of forming several groups to help Pakistani troops in killing, rape and arson.
Mr Rahman has been accused by the governing Awami League of using his newspaper to encourage political demonstrations against a war crimes tribunal set up by the government to examine abuses allegedly committed by people who supported Pakistan during Bangladesh's independencewar of 1971.
Observers say the rivalry between the two women is largely due to unsettled issues over Bangladesh's war of independence and the assassinations that followed.