Consi der a normal Subgroup H of order 4 of the dihedral group Dy= (a, b :a' = b°= (ab)* = 1). The n prove the following statement. i) Every left coset of H is equal to its corves ponding vight Coset of H, ie gH = H9 for all ge Dy. %3D

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This question is of group theory
Consider a normal Subgroup Hof order 4 of the dihedral group
Du= (a, b :a' = b²= (ab)" = 1). The n prove
the
fo llo wing statement.
%3D
i) Every left coset of H is equal to its corres ponding right
coset of H, ie gH= Hg for all gE Dy.
Transcribed Image Text:Consider a normal Subgroup Hof order 4 of the dihedral group Du= (a, b :a' = b²= (ab)" = 1). The n prove the fo llo wing statement. %3D i) Every left coset of H is equal to its corres ponding right coset of H, ie gH= Hg for all gE Dy.
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