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Elements Of Modern Algebra

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 34E: 34. Suppose that and are subgroups of the group . Prove that is a subgroup of .

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12. If a group G has exactly one subgroup H of order k, prove that H is normal in
G.

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