Posted: July 4th, 2015
Group Theory
MAT301 ASSIGNMENT 3
DUE DATE: MONDAY JULY 6, 2015 AT THE BEGINNING OF LECTURE
Question 1. Let x; y be elements of a group with jxj < 1; jyj < 1. If gcd(jxj; jyj) = 1, show that
hxi hyi = feg.
Question 2. For any xed x 2 G and H G, de ne xHx
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