(a) If G is an abelian group and m Z, then mG = { mu| u...
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(a) If G is an abelian group and m ϵ Z, then mG = { mu| u ϵ G} is a subgroup of G.
(b)
Transcribed Image Text:
If G=G₁, then mGmG₁ and G/mG= =4 iel
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a To show that mG is a subgroup of G we need to prove that it satisfies the three subgroup axioms cl...View the full answer
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Related Book For
Algebra Graduate Texts In Mathematics 73
ISBN: 9780387905181
8th Edition
Authors: Thomas W. Hungerford
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