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برهان سالم محمد الحلواني

Assistant Professor

عضو هيئة تدريس

كلية العلوم
2A157 Building 4
مادة دراسية

343 ريض- نظرية الزمر-Math343-Theory Groups

Definition and basic properties of the group, subgroups and cyclic groups, cosets and Lagrange's theorem, normal subgroups, homomorphism and factor groups, isomorphism theorems, group of automorphisms, Cayley,s theorem and its generalization.Simple groups, permutation groups. Action of a group on a set, conjugavy classes and Cauchy's theorem, p-groups, Sylow's theorems, External and internal direct products of groups