Find the number of non-isomorphic abelian groups of order 160. How many of these groups will be non-cyclic, and why?
Find the number of non-isomorphic abelian groups of order 160. How many of these groups will be non-cyclic, and why?
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.8: Some Results On Finite Abelian Groups (optional)
Problem 13E: If p1,p2,...,pr are distinct primes, prove that any two abelian groups that have order n=p1p2...pr...
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Transcribed Image Text:Find the number of non-isomorphic abelian
groups of order 160. How many of these
groups will be non-cyclic, and why?
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