Let p be a prime.A group G is a p-Group if every element in Ghas its order a power of
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a finite group G if every element is of some prime power order (prime may vary with element) and if G has non trivial center then prove that G is actually of prime power order. Deduce that any group G of order pq (where p and q are distinct primes) with non trivial center is cyclic.
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