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
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/19040
Title:
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On finite minimal non-nilpotent groups
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Author:
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Ballester Bolinches, Adolfo
Esteban Romero, Ramón
Robinson, Derek J. S.
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UPV Unit:
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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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Issued date:
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Abstract:
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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 ...[+]
[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 called Schmidt groups) is given, together with a complete proof of Gol¿fand¿s theorem on maximal Schmidt groups.
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Subjects:
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Critical group
,
Finite group
,
Class of finite groups
,
Minimal non-nilpotent group
,
Schmidt group
,
Pst-group
,
Sylow-permutable subgroup
,
Sylow subgroup
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Copyrigths:
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Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
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Source:
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Proceedings of the American Mathematical Society. (issn:
0002-9939
) (eissn:
1088-6826
)
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DOI:
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10.1090/S0002-9939-05-07996-7
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Publisher:
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American Mathematical Society
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Publisher version:
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http://dx.doi.org/10.1090/S0002-9939-05-07996-7
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Project ID:
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info:eu-repo/grantAgreement/MEC//BFM2001-1667-C03-03/ES/Los grupos a través de sus acciones III/
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Description:
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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
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Thanks:
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This work was supported by Proyecto BFM2001-1667-C03-03 (MCyT) and FEDER (European Union).
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Type:
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Artículo
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URL:
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http://dx.doi.org/10.1090/S0002-9939-05-07996-7
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