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Matematicheskie Zametki, 2001, Volume 69, Issue 5, Pages 643–655
DOI: https://doi.org/10.4213/mzm528 (Mi mzm528) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Groups with Small Centralizers

V. A. Antonova, I. A. Tyurinaa, A. P. Cheskidovb

a South Ural State University
b Indiana University
Full-text PDF (240 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm528
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.
Received: 23.11.2000
English version:
Mathematical Notes, 2001, Volume 69, Issue 5, Pages 593–604
DOI: https://doi.org/10.1023/A:1010203723415
Bibliographic databases:
UDC: 512.54
Language: Russian
Citation: V. A. Antonov, I. A. Tyurina, A. P. Cheskidov, “Groups with Small Centralizers”, Mat. Zametki, 69:5 (2001), 643–655; Math. Notes, 69:5 (2001), 593–604
Citation in format AMSBIB
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\by V.~A.~Antonov, I.~A.~Tyurina, A.~P.~Cheskidov
\paper Groups with Small Centralizers
\jour Mat. Zametki
\yr 2001
\vol 69
\issue 5
\pages 643--655
\mathnet{http://mi.mathnet.ru/mzm528}
\crossref{https://doi.org/10.4213/mzm528}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1846803}
\zmath{https://zbmath.org/?q=an:0997.20030}
\transl
\jour Math. Notes
\yr 2001
\vol 69
\issue 5
\pages 593--604
\crossref{https://doi.org/10.1023/A:1010203723415}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000169913100001}
Linking options:
  • https://www.mathnet.ru/eng/mzm528
  • https://doi.org/10.4213/mzm528
  • https://www.mathnet.ru/eng/mzm/v69/i5/p643
    • This publication is cited in the following 1 articles:
    1. V. A. Antonov, I. A. Tyurina, A. P. Cheskidov, “On Finite Groups with Restrictions on Centralizers”, Math. Notes, 71:4 (2002), 443–454  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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