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  • Topics In Algebra Second Edition Herstein
  • 14)Suppose a finite set G is closed under associative product and both cancellation laws hold. PT G is a group Since G is finite let G={x 1,x 2..x n} Look at S(x 1)= {x 1.x 1, x 1.x 2, x 1.x 3,…..x 1.x n} All these are distinct because of left cancellation law
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