Course Outline

·       Algebraic system

·       Operation, Cayley's tables properties of binary operations

·       Semigroups, monoids

·       Equivalence relation, quotient structures

·       Definition and example of group

·       Integral power of elements of a group

·       Cyclic groups

·       Composition table

·       Elementary properties of groups and cyclic groups

·       Permutations and product of permutations

·       Group of permutations and symmetric group Sn and dihedral group.

·       Group actions













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