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Groups Definition and examples of groups Abelian group Subgroups lattice, Lagrange’s theorem Relation between groups Cyclic groups Groups and symmetries, Cayley’s theorem Complexes in Groups Complexes and coset decomposition of groups Centre of a group Normalizer in a group Centralizer in a group Conjugacy classes and congruence relation in a group Double cosets Normal Subgroups Normal subgroups Proper and improper normal subgroups Factor groups Fundamental theorem of homomorphism Automorphism group of a group Commutator subgroups of a group Sylow Theorems Cauchy’s theorem for Abelian and non-Abelian group Sylow theorems |
Credit hours/ Marks:- 3 |
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