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1. Given that (G,*) is a group and that H and K are subgroups of (G,*), show that the set formed by the intersection of H and K is also a subgroup of (G,*).

1. Given that (G,*) is a group and that H and K are subgroups of (G,*), show that the set formed by the intersection of H and K is also a subgroup of (G,*).

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.4: Cosets Of A Subgroup
Problem 24E: Find two groups of order 6 that are not isomorphic.
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1. Given that (G,*) is a group and that H and K are subgroups of (G,*), show that the set formed by the intersection of H and K is also a subgroup of (G,*).
Transcribed Image Text:1. Given that (G,*) is a group and that H and K are subgroups of (G,*), show that the set formed by the intersection of H and K is also a subgroup of (G,*).
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