Title: Some results on the finite Steinhaus problem (part 2). | Department of Mathematics
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Title: Some results on the finite Steinhaus problem (part 2).

Event Information
Event Location: 
GAB 461
Event Date: 
Friday, September 27, 2013 - 12:00pm

Speakers: Jeff Lobe and Devon Henkis

Abstract: The finite Steinhaus problem asks whether for every set A in the plane with n>1 elements there could exist a Steinhaus set
S in the plane for A, that is, S meets every isometric copy of A in exactly one point. The conjecture is that this never happens.
The conjecture is easily true for n=2,3 and Xuan showed it for n=4. We make some connection between this problem and certain algebraic objects, and use this to prove the conjecture for n=5,7.