(4) subgroup of order p and only one subgroup of order q, prove that G is cyclic. Suppose G is a group with order pq, where p and q are distinct prime numbers. If G has only one
(4) subgroup of order p and only one subgroup of order q, prove that G is cyclic. Suppose G is a group with order pq, where p and q are distinct prime numbers. If G has only one
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.6: Quotient Groups
Problem 33E
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