Skip to main content

All Questions

Filter by
Sorted by
Tagged with
10 votes
0 answers
245 views

Projective planes over non-division rings

Is there a "right" notion of a projective plane over a general (unital, non-division) ring? Let me explain what type of object I am looking for. Let $R$ be an arbitrary (not necessarily ...
Anton Izosimov's user avatar
6 votes
2 answers
713 views

Reference on the Veblen-Young characterization of projective spaces

Can someone point me to a modern treatment of the Veblen-Young characterization of projective spaces of dimension greater than $2$ as $P(V)$ for some vector space $V$? [Added: see here for a ...
Mariano Suárez-Álvarez's user avatar
5 votes
1 answer
341 views

Which finite projective planes can have a symmetric incidence matrix?

As the title says. Which finite projective planes admit a symmetric incidence matrix? I am not an expert in the field at all, but I consulted with one. He claimed that $PG(2, \mathbb F_q)$ can always ...
Adelhart's user avatar
  • 237