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Mat. Zametki, 2002, Volume 71, Issue 4, Pages 483–495 (Mi mz360)  

On Finite Groups with Restrictions on Centralizers

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

a South Ural State University
b Indiana University

Abstract: Denote by $w(n)$ the number of factors in a representation of a positive integer $n$ as a product of primes. If $H$ is a subgroup of a finite group $G$, then we set $w(H)=w(|H|)$ and $v(G)=\max \{w(C(g))\mid g\in G\setminus Z(G)\}$. In the present paper we present the complete description of groups with nontrivial center that satisfy the condition $v(G)=4$.

DOI: https://doi.org/10.4213/mzm360

Full text: PDF file (245 kB)
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English version:
Mathematical Notes, 2002, 71:4, 443–454

Bibliographic databases:

UDC: 512.54
Received: 23.11.2000

Citation: V. A. Antonov, I. A. Tyurina, A. P. Cheskidov, “On Finite Groups with Restrictions on Centralizers”, Mat. Zametki, 71:4 (2002), 483–495; Math. Notes, 71:4 (2002), 443–454

Citation in format AMSBIB
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