On the Structure of Primitive 𝓃-Sum Groups

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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).

Keywords

n-sum groups , minimal coverings , monolithic groups
  • 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.
  • Pages: 195–210
  • Date Published: 2008-10-01
  • Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal

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Published

2008-10-01

How to Cite

[1]
E. Detomi and A. Lucchini, “On the Structure of Primitive 𝓃-Sum Groups”, CUBO, vol. 10, no. 3, pp. 195–210, Oct. 2008.

Issue

Vol. 10 No. 3 (2008): CUBO, A Mathematical Journal

Section

Articles