The primary difference between the research of sherif (1936) and asch (1955) is that

The primary difference between the research of Sherif (1936) and Asch (1951) is that Sherif relied on an ambiguous task where Asch relied on an unambiguous task (opposite to each other,)

Solomon Asch was a social psychologist and Muzafer Sherif was a Turkish-American social psychologist, both of them studied on conformity but in their own ways, both have their own theories.