Ballester Bolinches, A.; Cossey, J.; Pedraza Aguilera, MC. (2016). On the exponent of mutually permutable products of two abelian groups. Journal of Algebra. 466:34-43. https://doi.org/10.1016/j.jalgebra.2016.05.027
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/82437
Título:
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On the exponent of mutually permutable products of two abelian groups
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Autor:
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Ballester Bolinches, Adolfo
Cossey, John
Pedraza Aguilera, María Carmen
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Entidad UPV:
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Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica
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Fecha difusión:
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Resumen:
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In this paper we obtain some bounds for the exponent of a finite group, and its derived subgroup, which is a mutually permutable product of two abelian subgroups. They improve the ones known for products of finite abelian ...[+]
In this paper we obtain some bounds for the exponent of a finite group, and its derived subgroup, which is a mutually permutable product of two abelian subgroups. They improve the ones known for products of finite abelian groups, and they are used to derive some interesting structural properties of such products.
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Palabras clave:
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Finite group
,
Abelian group
,
Exponent
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Factorisations
,
p-Supersolubility
,
p-Legth
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Derechos de uso:
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Reserva de todos los derechos
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Fuente:
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Journal of Algebra. (issn:
0021-8693
)
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DOI:
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10.1016/j.jalgebra.2016.05.027
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Editorial:
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Elsevier
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Versión del editor:
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https://doi.org/10.1016/j.jalgebra.2016.05.027
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Código del Proyecto:
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info:eu-repo/grantAgreement/MINECO//MTM2014-54707-C3-1-P/ES/PROPIEDADES ARITMETICAS Y ESTRUCTURALES DE GRUPOS Y SEMIGRUPOS I/
info:eu-repo/grantAgreement/NSFC//11271085/
info:eu-repo/grantAgreement/Natural Science Foundation of Guangdong Province//2015A030313791/
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Descripción:
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NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in JOURNAL OF ALGEBRA [VOL 466, (15 November 2016)] DOI 10.1016/j.jalgebra.2016.05.027
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Agradecimientos:
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The first author has been supported by the grant MTM2014-54707-C3-1-P from the Ministerio de Economia y Competitividad, Spain, and FEDER, European Union. He has been also supported by a project from the National Natural ...[+]
The first author has been supported by the grant MTM2014-54707-C3-1-P from the Ministerio de Economia y Competitividad, Spain, and FEDER, European Union. He has been also supported by a project from the National Natural Science Foundation of China (NSFC, No. 11271085) and a project of Natural Science Foundation of Guangdong Province (No. 2015A030313791).
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Tipo:
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Artículo
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