Give example of a group G and a subset H of G such that g¯¹hg Є H, Vg Є G and Vh ЄH but H is not a subgroup of G

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.8: Some Results On Finite Abelian Groups (optional)
Problem 12E
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Give example of a group G and a subset H of G such
that g¯¹hg Є H, Vg Є G and Vh ЄH but H is not a
subgroup of G
Transcribed Image Text:Give example of a group G and a subset H of G such that g¯¹hg Є H, Vg Є G and Vh ЄH but H is not a subgroup of G
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