On the Structure of Primitive ð“ƒ-Sum Groups

Eloisa Detomi; Andrea Lucchini

On the Structure of Primitive ð“ƒ-Sum Groups

Authors

Eloisa Detomi Dipartimento di Matematica Pura ed Applicata, Via Trieste 63, 35121 Padova, Italy.
Andrea Lucchini Dipartimento di Matematica Pura ed Applicata, Via Trieste 63, 35121 Padova, Italy.

Keywords:

n-sum groups, minimal coverings, monolithic groups

Abstract

For a finite group G, let ðœŽ(G) be least cardinality of a collection of proper subgroups whose set-theoretical union is all of G. We study the structure of groups G containing no normal non-trivial subgroup N such that ðœŽ(G/N) = ðœŽ(G).