The size of the commutator subgroup of finite groups

JOURNAL OF ALGEBRA

卷:320

Article

Herzog, Marcel^1,2  Kaplan, Gil^1,2  Lev, Arieh^1,2 

[1] Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel

[2] Acad Coll Tel Aviv Yaffo, Sch Comp Sci, IL-61083 Tel Aviv, Israel

关键词: commutator subgroup;    centre;    Frattini subgroup;   

DOI  :  10.1016/j.jalgebra.2005.12.036

来源: Elsevier

【 摘 要 】

We prove that every finite non-abelian group G such that Phi(G) = 1 satisfies the inequality vertical bar G'vertical bar > [G : Z(G)](1/2). (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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