Chapter 2, exercise 11.1: Let x be an element of order r of a group G and let y be an element of a group G′ of orders. What is the order of (x, y) in the product group G x G'?
Chapter 2, exercise 11.1: Let x be an element of order r of a group G and let y be an element of a group G′ of orders. What is the order of (x, y) in the product group G x G'?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Abstract Algebra

Transcribed Image Text:Chapter 2, exercise 11.1: Let \( x \) be an element of order \( r \) of a group \( G \) and let \( y \) be an element of a group \( G' \) of order \( s \). What is the order of \( (x, y) \) in the product group \( G \times G' \)?
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