Department of Mathematics, College of Science, Al Baha University, Al Baha, KSA. Most of our notation is standard and can be found in [4]. 2. Abelian Subgroups Recall that the F C-centre of a group G ...

ABSTRACT: It is proved in this paper that Abel’s and Galois’s proofs that the quintic equations have no radical solutions are invalid. Due to Abel’s and Galois’s work about two hundred years ago, it ...