# are the generators of

• November 6th 2008, 05:59 PM
universalsandbox
are the generators of
are the generators of the group integers under addition, 1 and -1 ?

thanks.
• November 7th 2008, 10:59 AM
ThePerfectHacker
Quote:

Originally Posted by universalsandbox
are the generators of the group integers under addition, 1 and -1 ?

thanks.

Yes. If $a$ generates the group then $na = 1$ for some $n$. But then $a=\pm 1$.