This article is cited in 1 paper

Groups with Small Centralizers

V. A. Antonov^a, I. A. Tyurina^a, A. P. Cheskidov<sup>b

a</sup> South Ural State University
^b Indiana University

Abstract: Denote by $w(n)$ the number of factors in the representation of a positive integer $n$ in the form of a product of primes. For a subgroup $>H$ of a finite group $G$, we set $w(H)=w(|H|)$ and $v(G)=\max\{w(C(g))\mid g\in G\setminus Z(G)\}$. In the present paper, the complete description of centerfree groups satisfying the condition $v(G)= 4$ is presented.

UDC: 512.54

Received: 23.11.2000

DOI: 10.4213/mzm528

 English version: Mathematical Notes, 2001, 69:5, 593–604

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