Products of subsets of groups by their inverses

Marcel Herzog; Gil Kaplan; Patrizia Longobardi; Mercede Maj

doi:10.1007/s13366-013-0141-y

Products of subsets of groups by their inverses

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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	311-346
Number of pages	36
Journal	Beitrage zur Algebra und Geometrie
Volume	55
Issue number	2
DOIs	https://doi.org/10.1007/s13366-013-0141-y
State	Published - 27 Sep 2014

Keywords

Hamiltonian 2- groups
Periodic groups
Products of subsets of groups

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10.1007/s13366-013-0141-y

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Products of subsets of groups by their inverses

Abstract

Keywords

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