Let G-D6 be the dihedral group of order 12, H be the subgroup of G generated by R120 rotation of 120°, and K be the subgroup of G generated by where R120 is a R180L where L is a reflection. counterclockwise
Let G-D6 be the dihedral group of order 12, H be the subgroup of G generated by R120 rotation of 120°, and K be the subgroup of G generated by where R120 is a R180L where L is a reflection. counterclockwise
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:6
Let G= Do be the dihedral group of order 12, H be the subgroup of G generated by R₁20
rotation of 120°, and K be the subgroup of G generated by
where R₁20 is a
counterclockwise
R180L where L is a reflection.

Transcribed Image Text:7. Is H a normal subgroup of G? Justify your answer.
8. Is HK G? Justify your answer.
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