Solution Found!
Show that the set {5, 15, 25, 35} is a group under
Chapter 2, Problem 16E(choose chapter or problem)
QUESTION:
Show that the set {5, 15, 25, 35} is a group under multiplication modulo 40. What is the identity element of this group? Can you see any relationship between this group and U(8)?
Questions & Answers
QUESTION:
Show that the set {5, 15, 25, 35} is a group under multiplication modulo 40. What is the identity element of this group? Can you see any relationship between this group and U(8)?
ANSWER:Step 1 of 6
To prove that the set is a group under multiplication module 40, we need to check that whether the set is closed under multiplication or not.
First multiply every number by 5 as: