what is multiplicative group of all integers coprime with $N$ called?
I am not sure the tags are correct or not!
what is multiplicative group of all integers coprime with $N$ called?
I am not sure the tags are correct or not!
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It's called the group of units mod n, often written $(\mathbb{Z}/n\mathbb{Z})^\times$.
By the way, the superscript-cross notation commonly refers to the group of units in the ring, so this is an example of that notation.