Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.5: Normal Subgroups
Problem 17E
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![12. Prove that the intersection of any family of normal subgroups of a
group (G, *) is again normal subgroup of G.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c53681a-c483-4144-95dc-8ad4e2e141b5%2F4b571081-1c69-4c95-a3db-b603922b4748%2F2iqlrvw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:12. Prove that the intersection of any family of normal subgroups of a
group (G, *) is again normal subgroup of G.
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