Products of subsets of groups by their inverses

Marcel Herzog*, Gil Kaplan, Patrizia Longobardi, Mercede Maj

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A group G is called a P-group if each finite subset X of G satisfies (Formula presented.) In this paper we classify all P-groups. This class of groups consists of two infinite families: the abelian groups and the Hamiltonian 2-groups, and of seven small finite groups.

Original languageEnglish
Pages (from-to)311-346
Number of pages36
JournalBeitrage zur Algebra und Geometrie
Issue number2
StatePublished - 27 Sep 2014


  • Hamiltonian 2- groups
  • Periodic groups
  • Products of subsets of groups


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