1) A. Write the elements of dihedral group D with respect x and y. Is D, a p-group? Justify your answer. 4 1) B. Determine or whether (C...) be a cyclic group with order 6 is a normal subgroup of dihedral group D. D₁ Find the elements of quotient group

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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A: Find all subgroups of the dihedral group D3 with a detailed explanation.

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A: D4=Dihedral group of order 4H=1,1234=R0,V and H=2To form the cosets.

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A: Step 1: Step 2: Step 3: Step 4:

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Q: statements. (a) If Ha = Hb, then b e Ha and a E Hb. %3D (b) If Ha = Hb, then aH = bH. (c) If aH =…

A: We shall answer first there suspects of 1st Que only. For others kindly post again by mentioning…

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A: 1. The order of any subgroup of a finite group divides the order of the group.  This statement is…

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