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*?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
Transcribed Image Text: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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