Proof that Let p be a prime and D a divisible abelian p-group. Then D is a
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Proof that Let p be a prime and D a divisible abelian p-group. Then D is a direct sum of copies of Z(p∞).
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Let D be a divisible abelian pgroup By the structure theorem for abelian groups we can write D as a direct sum of cyclic groups D Zn1Z Zn2Z ZnkZ where ...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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