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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter4: More On Groups

Section4.4: Cosets Of A Subgroup

Problem 29E: Let be a group of order , where and are distinct prime integers. If has only one subgroup of...

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Let G be a group of order pq, where p and q are distinct
primes and p > q. Then
(i) G has a normalo cyclic subgroup of order p. Hence G
is not simple.
(ii) if qt p-1, then G is cyclic.

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