Original scientific paper

https://doi.org/10.3336/gm.45.2.09

Coverings of finite groups by few proper subgroups

Yakov Berkovich ; Department of Mathematics, University of Haifa, Mount Carmel, Haifa 31905, Israel

Abstract

A connection between maximal sets of pairwise non-commuting elements and coverings of a finite group by proper subgroups is established. This allows us to study coverings of groups by few proper subgroups. The p-groups without p+2 pairwise non-commuting elements are classified. We also prove that if a p-group admits an irredundant covering by p+2 subgroups, then p=2. Some related topics are also discussed.

Keywords

Minimal nonabelian p-groups; irredundant covering; minimal nonnilpotent groups; central product

Hrčak ID:

62697

URI

https://hrcak.srce.hr/62697

Publication date:

24.12.2010.

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