What does the notation n|q mean?

Saitama · Jun 29, 2012

Homework Statement

This is no homework question, i could not understand a statement from the book Complex Numbers from A to ...Z because i don't know the meaning of the symbol used.
Here is a screenshot:

Printed text reading: Proposition 1. a) If n|q, then any root of Z^n - 1 = 0 is a root of Z^q - 1 = 0. b) The common roots of Z^m - 1 = 0 and Z^n - 1 = 0 are the roots of Z^d - 1 = 0, where d = gcd(m, n).

The problem is what does "n|q" mean?

Any help is appreciated!

eumyang · Jun 29, 2012

n | q means "n divides q" or "q is divisible by n". In other words, there is an integer p such that q = np.

Saitama · Jun 29, 2012

eumyang said:

n | q means "n divides q" or "q is divisible by n". In other words, there is an integer p such that q = np.

Thanks eumyang!

What does the notation n|q mean?

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