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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