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Math Forum » Discussions » Math Topics » alt.math.undergrad.independent

Topic: help required -- ring, units, mod... etc
Replies: 9   Last Post: Mar 20, 2007 2:37 PM

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Rupert

Posts: 7
Registered: 12/14/06
Re: help required -- ring, units, mod... etc
Posted: Mar 15, 2007 1:38 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Mar 15, 1:43 pm, "Maria Bertouli" <a...@spam.net> wrote:
> I would like to find all the positive integers n such that every unit u in
> the Integers mod n satisfies u^2=1.
>
> How can I find these?
>
> Thanks.

Firstly, you probably should go about finding which units in integers
mod 5, say, have a square of one. Then try a non-prime, say 6? It
should become clearer after trying some examples, I think.

Rupert

P.S. This does read very strongly like a homework assignment, so don't
expect explicit answers.

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