If the multi set of natural numbers is the underlining set of arithmetic sequence arranged in a Loube ́re ́ Magic Squares, the set of the squares equipped with the matrix binary operation of addition forms a semigroup. In this work, permutation over the Loube ́re ́ Magic Squares enclosed with its composition forms the symmetric group of odd lengths. Not only to generate symmetric group of odd lengths with the aforementioned squares is the aim of this work, but to minimize the number of the squares that generates it.
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