Let G be an abelian group and let H={g²1 gEG}. Show that H is a subgroup of G. identity: Let e E G. ee = e² = e EH closed: Let a,b € H then a=c² and b=d² for c²,d² E G. Then ab-c²d²=cdcd=cd². inverse= ?
Let G be an abelian group and let H={g²1 gEG}. Show that H is a subgroup of G. identity: Let e E G. ee = e² = e EH closed: Let a,b € H then a=c² and b=d² for c²,d² E G. Then ab-c²d²=cdcd=cd². inverse= ?
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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Ff.288.
Transcribed Image Text:Let G be an abelian group and let H={g²1 gEG}. Show that H is a subgroup of G.
identity: Let e E G. ee = e² = e EH
closed: Let a,b € H then a=c² and b=d² for c²,d² E G. Then ab-c²d²=cdcd=cd².
inverse= ?
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