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Multiplication Tables for the Group of Integers Modulo n

​
n
40
size
16
Given a positive integer
n
, the set
*
n
of positive integers coprime to
n
satisfies the axioms for an Abelian group under the operation of multiplication modulo
n
. For instance,
+
30
={1,7,11,13,17,19,23,29}
and
7*17=29
because
7×17=119≡29(mod30)
. This Demonstration shows the array plot of the multiplication table modulo
n
corresponding to
*
n
.
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