a. Let p be a prime number. Fill in the second row of the table to give

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a. Let p be a prime number. Fill in the second row of the table to give the number of abelian groups of order pⁿ, up to isomorphism.

b. Let p, q, and r be distinct prime numbers. Use the table you created to find the number of abelian groups, up to isomorphism, of the given order.

i. p³q⁴r⁷

ii. (qr)⁷

iii. q⁵r⁴q³

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Dec 30, 2022 05:10 AM

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a. Let p be a prime number. Fill in the second row of the table to give

Question:

n | 2 | 3 | 4 | 5 | 6 | 7 | 8 | number of groups

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a We just illustrate with the computation for groups of order p 8 to get the l...View the full answer

A First Course In Abstract Algebra

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