In 1830,Galois put forward a theorem on primitive equations.Many scholars believed that this theorem was wrong for the characterization of primitive groups in the history of mathematics.Some researchers supposed that Galois's theorem should be correct,and that Galois was probably assuming implicitly double-transitivity.By introducing the corresponding concept of the"doubly transitive equation",this paper is to restore Galois's real thoughts by the method of mathematical practice or paradigm of recovery,and to prove that"primitive equation"in Galois's theorem actually refers to the doubly transitive equation.According to the corresponding result of the doubly transitive group,nothing is wrong in this theorem.
Galoisprimitive equationsdoubly transitive groupsmathematical practiceparadigm of recovery
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