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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

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)?

 

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A Cayley table shows 3 out of 4 properties.  What properties are verified that the group has? What do you look for in a Cayley table to show these properties?

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