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On finite minimal non-nilpotent groups

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On finite minimal non-nilpotent groups

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Ballester Bolinches, A.; Esteban Romero, R.; Robinson, DJS. (2005). On finite minimal non-nilpotent groups. Proceedings of the American Mathematical Society. 12(133). https://doi.org/10.1090/S0002-9939-05-07996-7

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Title: On finite minimal non-nilpotent groups
Author: Ballester Bolinches, Adolfo Esteban Romero, Ramón Robinson, Derek J. S.
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
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[EN] A critical group for a class of groups X is a minimal non-X-group. The critical groups are determined for various classes of finite groups. As a consequence, a classification of the minimal non-nilpotent groups (also ...[+]
Subjects: Critical group , Finite group , Class of finite groups , Minimal non-nilpotent group , Schmidt group , Pst-group , Sylow-permutable subgroup , Sylow subgroup
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Proceedings of the American Mathematical Society. (issn: 0002-9939 ) (eissn: 1088-6826 )
DOI: 10.1090/S0002-9939-05-07996-7
American Mathematical Society
Publisher version: http://dx.doi.org/10.1090/S0002-9939-05-07996-7
Project ID:
info:eu-repo/grantAgreement/MEC//BFM2001-1667-C03-03/ES/Los grupos a través de sus acciones III/
Description: First published in Proceedings of the American Mathematical Society in volume 12, number 6:961-963 (2009), published by the American Mathematical Society http://dx.doi.org/10.1090/S0002-9939-05-07996-7 http://www.ams.org/journals/proc/2005-133-12/S0002-9939-05-07996-7/home.html
This work was supported by Proyecto BFM2001-1667-C03-03 (MCyT) and FEDER (European Union).
Type: Artículo
URL: http://dx.doi.org/10.1090/S0002-9939-05-07996-7



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