Let G be an abelian group containing elements a and b of orders m and n respectively.
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Let G be an abelian group containing elements a and b of orders m and n respectively. Show that G contains an element whose order is the least common multiple of m and n.
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Since G is an abelian group we know that its elements commute with each other which means that for a...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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