SOLVED:Let p be a prime number. A finite group G is called a p-group if the order of every element x in G is a power p. (The orders of different elements may be different powers of p.) If H is a subgroup of any finite group G, and H is a p-group, we call H a p-subgroup of G . Finally, if K is a p-subgroup of G, and K is maximal (in the sense that K is not contained in any larger p-subgroup of G ), then K is called a p-Sylow subgroup of G. Prove the following: The order of any p-group is a power

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