Every cyclic group is a non-abelian group.

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.
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true or false, prove

Every cyclic group is a non-abelian group.
Transcribed Image Text:Every cyclic group is a non-abelian group.
If |(a)|
= n and m divides n then the only
(a#).
m
unique subgroup of order m is
Transcribed Image Text:If |(a)| = n and m divides n then the only (a#). m unique subgroup of order m is
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