Open AccessCoverings of finite groups by few proper subgroups
Author(s) -
Yakov Berkovich
Publication year - 2010
Publication title -
glasnik matematicki
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.332
H-Index - 17
eISSN - 1846-7989
pISSN - 0017-095X
DOI - 10.3336/gm.45.2.09
Subject(s) - mathematics , pairwise comparison , connection (principal bundle) , combinatorics , group (periodic table) , finite group , statistics , geometry , chemistry , organic chemistry
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
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