conjecture: if p is prime, the no. of rings of order p^2 is 11

[Neil Fernandez]

In message <343mDPBgK3926S28.1208308056 at cmsweb28.cms.usa.net>, Christian
G. Bower <bowerc at usa.net> writes

>From: Neil Fernandez <primeness at borve.org>
>Subject: conjecture: if p is prime, the no. of rings of order p^2 is 11

[...]

>>perhaps both the conjecture and its converse are true.

>This was discussed in detail on math-fun back in June 1998.
>
>The short answer is yes, both conjecture and its converse are true.
>Unfortunately the link to C. Noebauer's paper on small rings seems to be
>broken. I have a copy of it though. It's a short paper citing some theorems
>about small rings.

Many thanks for this.

The paper is archived here:

http://web.archive.org/web/20070714210151/http://www.algebra.uni-
linz.ac.at/~noebsi/pub/smallrings.ps

and Christof Nöbauer's (former?) front page is archived at:

http://web.archive.org/web/20070714210151/http://www.algebra.uni-
linz.ac.at/~noebsi/

Neil

-- 
Neil Fernandez