What is the inverse of (2, 3) in Z3 X Z5?A. (1, 2)B. (2, 3)C. (3, 2)D. (2, 1)What is the order of (2, 3) in Z3 X Z5*?2364Find all abelian groups of order 64.A. Z64B. Z64,Z4 XZ16C. Z4 XZ16, Z4 X Z4 X Z4D. Z64,Z4 XZ16, Z4 XZ4 X Z4

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What is the inverse of (2, 3) in Z3 X Z5*? A. (1, 2) B. (2, 3) C. (3, 2) D. (2, 1) What is the order of (2, 3) in Z3 X Z5*?

What is the inverse of (2, 3) in Z3 X Z5? A. (1, 2) B. (2, 3) C. (3, 2) D. (2, 1) What is the order of (2, 3) in Z3 X Z5?

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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Question

What is the inverse of (2, 3) in Z3 X Z5?
A. (1, 2)
B. (2, 3)
C. (3, 2)
D. (2, 1)
What is the order of (2, 3) in Z3 X Z5*?
2
3
6
4
Find all abelian groups of order 64.
A. Z64
B. Z64,Z4 XZ16
C. Z4 XZ16, Z4 X Z4 X Z4
D. Z64,Z4 XZ16, Z4 XZ4 X Z4

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