On the commutator and the center of finite groups

Marcel Herzog*, Gil Kaplan, Arieh Lev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


For a finite group G, we study the connections between the sizes of its commutator subgroup G′ and its center Z(G). For example, we prove that if G is a solvable group such that Φ(G)=1 and G′ ≤ G 1/3, then Z(G)≠1.

Original languageEnglish
Pages (from-to)494-501
Number of pages8
JournalJournal of Algebra
Issue number2
StatePublished - 15 Aug 2004


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