(c) Prove that the intersection of any three subgroups is a subgroup while the union of two subgroups not be a subgroup. need

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 19E: 19. With and as in Exercise 18, prove that is a subgroup of . Exercise18: 18. If is a...
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(c) Prove that the intersection of any three subgroups is a subgroup while the union of two subgroups need
not be a subgroup.
Transcribed Image Text:(c) Prove that the intersection of any three subgroups is a subgroup while the union of two subgroups need not be a subgroup.
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