Nilpotent groups are round

Daniel Berend, Michael D. Boshernitzan

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish
Pages (from-to)49-61
Number of pages13
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - 1 Oct 2008

ASJC Scopus subject areas

  • Mathematics (all)


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