Tag Archives: vector spaces

Steiner systems exist, 2

Posted on 21/04/2014 by Peter Cameron

One of the inevitable consequences of getting old is that my brain becomes more and more like a Swiss cheese, and important pieces of information fall through the holes. So I owe an apology to Michael Braun, Tuvi Etzion, Patric … Continue reading →

Posted in exposition | Tagged , , | 1 Comment

Steiner systems

Posted on 05/03/2014 by Peter Cameron

Following Peter Keevash’s asymptotic existence proof for Steiner systems, does anything remain to be done? I would say yes, it certainly does; here are a few thoughts about the open problems in this area. Existence We are looking for a … Continue reading →

Posted in mathematics, open problems | Tagged , , , , , | 3 Comments

Automorphisms of groups

Posted on 05/11/2011 by Peter Cameron

I set a question to my group theory class. It is quite easy until suddenly you find yourself falling off a cliff into deep water. Indeed, I don’t know the answer to the second part of this question. Show that … Continue reading →

Posted in exposition, open problems | Tagged , , , | 4 Comments

Bases

Posted on 25/02/2011 by Peter Cameron

Sometimes you have to make things more complicated in order to make them simpler. My old friend Aiden Bruen visited this week, and told me about a paper by him and his son Trevor which has just appeared in the … Continue reading →

Posted in exposition, mathematics, open problems | Tagged , , | 1 Comment