Let D4 be dihedral group order 8. So D4={e, a, a^2, a^3, b, ab, a^2b, a^3b}, a^4 = e,...

Question

Question

Let D4 be dihedral group order 8. So D4={e, a, a^2, a^3, b, ab, a^2b, a^3b}, a^4 = e, b^2= e, ab=ba^3;

A. FIND ALL THE COSETS OF THE SUBGROUP H= , list their elements.

B. What is the index [D4 : H]

C. DETERMINE IF H IS NORMAL

math algebra

Answer 1

Answer #1

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Answer 2

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