Texas A&M University, Department of
Mathematics, 216 Milner Hall, 22nd of February 2006, 3:00-3:50
Groups and Dynamics Seminar
Nilpotent groups
are round
Daniel Berend of Ben Gurion University
We define a notion of roundness for finite groups. Roughly speaking, a
group is round if one can order its elements in a cycle in such a way
that some natural summation operators map this cycle into new cycles
containing all the elements of the group. Our main result is that this
combinatorial property is equivalent to nilpotence.