Glasnik matematički, Vol. 45 No. 2, 2010.
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
Publication date:
24.12.2010.
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