Let p1, p2 ......pn be distinct primes. Up to isomorphism, how manyAbelian groups are there of order p14, p24...... pn4?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter4: More On Groups
Section4.5: Normal Subgroups
Problem 38E: Let n be appositive integer, n1. Prove by induction that the set of transpositions...
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Let p1, p2 ......pn be distinct primes. Up to isomorphism, how many
Abelian groups are there of order p14, p24...... pn4?

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