19. Let H and K be subgroups of a group G. Prove that gH ngK is a coset of HOK in G.

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 10E: Let be a subgroup of a group with . Prove that if and only if .
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19. Let H and K be subgroups of a group G. Prove that gH ngK is a coset of
HnKin G.
Transcribed Image Text:19. Let H and K be subgroups of a group G. Prove that gH ngK is a coset of HnKin G.
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