PREV

NEXT

• Definition of a group and examples
• Elementary Properties of Groups
• Symmetries of a Square, The Dihedral Groups
• Subgroup: Terminology and Notation, Subgroup Tests
• Examples of Subgroups
• Cyclic Groups :Definition and examples
• Properties of Cyclic Groups
• Classification of Subgroups of Cyclic Groups
• Cosets and Lagrange’s theorem
• Mid Term Exam
• Normalizer,Centralizer, Center of a group
• Equivalence relation in a group, Conjugacy classes
• Equivalence relation in a group, Conjugacy classes
• Conjugacy classes, Normal subgroups, Quotient group
• Homomorphism, isomorphism and automorphism
• kernel and image of homomorphism, isomorphism theorems
• Permutation groups, Cyclic decomposition of a permutation group, Cayley’s theorem, direct product of two groups and examples
• Final Term Exam