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Determine the order of each element

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Reference no: EM131028546

I have the following cayley tables (which is in modulo 9)

determine the order of each element . Prove that G is a cyclic group.

Let be the symmetric group of degree 3 together with composition of maps. Is G isomorphic to ? Justify your answer.

Let p be a prime number and G a group of order with identity element e. let and be a subgroup of G. prove that U is cyclic

Attachment:- Cyclic group.zip

Reference no: EM131028546

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