Nilpotent Groups are Round

Details Nilpotent Groups are Round Nilpotent Groups are Round

2009-11-11

arxiv.org/abs/0911.2048v1

Israel Journal of Mathematics, 167 (2008), 49-61

Mathematics

Group Theory

11 pages

Scientific paper

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.

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