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Groups with Small Centralizers

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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)= maxw(C(g))| g ∈ G \ Z(G). In the present paper, the complete description of centerfree groups satisfying the condition v(G)= 4 is presented.

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Authors and Affiliations

  1. South-Ural State University, Russia

    V. A. Antonov & I. A. Tyurina

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  1. V. A. Antonov
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  2. I. A. Tyurina
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  3. A. P. Cheskidov
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Antonov, V.A., Tyurina, I.A. & Cheskidov, A.P. Groups with Small Centralizers. Mathematical Notes 69, 593–604 (2001). https://doi.org/10.1023/A:1010203723415

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