1. Let G with a binary operation * be a group. Now, choose one element g ∈ G and define new
binary operation # in G as follow : a # b = a * g * b.
Check whether ( G, #) form a group or not.
2. Determine all subgroup of
3. Find the number of generator of cyclic group
4. Let G be a group and g ∈ G. A function f : G → G is defined by
that f is an automorphism.
binary operation # in G as follow : a # b = a * g * b.
Check whether ( G, #) form a group or not.
2. Determine all subgroup of
3. Find the number of generator of cyclic group
4. Let G be a group and g ∈ G. A function f : G → G is defined by
that f is an automorphism.
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