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A remark on the Brauer–Fowler theorems

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Abstract

Let G be a finite group of even order that has no 2-rank 1. We will prove, using only elementary methods, that there is an involution \(t \in G\) such that \(|G| < |C_{G}(t)|^{6}\).

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  1. Dipartimento di Filosofia, Università di Venezia, Dorsoduro 3484/D, 30123, Venezia, Italy

    Enrico Jabara

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  1. Enrico Jabara
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Correspondence to Enrico Jabara.

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To Carlo Casolo, in memoriam.

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Jabara, E. A remark on the Brauer–Fowler theorems. Arch. Math. 116, 601–609 (2021). https://doi.org/10.1007/s00013-020-01574-w

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  • DOI: https://doi.org/10.1007/s00013-020-01574-w

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