Re: primitive roots problem

Quote:

Originally Posted by

**strider2** also

and

Can you clarify this line? Is it meant to say there exists a such that ?

Re: primitive roots problem

Another clarification...is a group ? So I can presume that 1 is the multiplicative identity?

-Dan

Re: primitive roots problem

Quote:

Originally Posted by

**strider2** I'm trying to figure this problem out and need a little help.

So suppose n is an integer and

and suppose

.

also

and

. Prove that if

then

.

So far my proof:

Suppose a contradiction.

Let

, then

.

I write the linear combination

for some integers t,n.

then

where do i go from here?

There is something wrong with the problem statement as I understand it.

Counter-example. Let be the multiplicative group of two elements e and a.

We have

We have

0 < 2 < 4, 2|4

and

-Dan