Prove that every subgroup of the quaternion group Qs is normal. Deter mine all the quotient groups.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.5: Normal Subgroups
Problem 8E: Show that every subgroup of an abelian group is normal.
Question
Prove that every subgroup of the quaternion group Qs is normal. Deter-
mine all the quotient groups.
Transcribed Image Text:Prove that every subgroup of the quaternion group Qs is normal. Deter- mine all the quotient groups.
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