On a question of Beidleman and Robinson
NAGIOS: RODERIC FUNCIONANDO

On a question of Beidleman and Robinson

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On a question of Beidleman and Robinson

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Ballester-Bolinches, Adolfo Perfil; Esteban Romero, Ramón Perfil
This document is a artículoDate2002

Este documento está disponible también en : http://hdl.handle.net/10550/47143
In (1, Theorem A), Beidleman and Robinson proved that if a group satisfies the permutizer condition, it is soluble, its chief factors have order a prime number or 4 and G induces the full group of automorphisms in the chief factors of order 4. In this paper, we show that the converse of this theorem is false by showing some counterexamples. We also find some sufficient conditions for a group satisfying the converse of that theorem to satisfy the permutizer condition.

    Ballester Bolinches, Adolfo Esteban Romero, Ramón 2002 On a question of Beidleman and Robinson Communications in Algebra 30 12 5757 5770
http://dx.doi.org/10.1081/AGB-120016008

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