Answered: Question 2. Suppose that G is a group… | bartleby

Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.4: Cyclic Groups

Problem 40E

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[Groups and Symmetries] How do you solve question 2, thanks

Question 2. Suppose that G is a group that has exactly one non-trivial proper subgroup. Prove that G is cyclic and
|G| = p², where
is prime.

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