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A dihedral group is the group of symmetries of a regular polygon which includes rotations...

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Algebra

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A dihedral group is the group of symmetries of a regular polygon which includes rotations and reflections Let D refers to the symmetries of n gon with 2n elements a Sketch a regular pentagon D5 Using dotted lines label all the reflection lines b List all elements of D5 and determine their orders c Give H a nontrivial normal subgroup of D5 d What is the factor groun Dr H2

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