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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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  • These solutions are meant to facilitate deeper understanding of the book, Topics in Algebra, second edition, written by I.N. Herstein. We have tried to stick with the notations developed in the book as far as possible.
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