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A note on a result of Guo and Isaacs about p-supersolubility of finite groups

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A note on a result of Guo and Isaacs about p-supersolubility of finite groups

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Ballester-Bolinches, A.; Esteban Romero, R.; Qiao, S. (2016). A note on a result of Guo and Isaacs about p-supersolubility of finite groups. Archiv der Mathematik. 106(6):501-506. https://doi.org/10.1007/s00013-016-0901-7

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Título: A note on a result of Guo and Isaacs about p-supersolubility of finite groups
Autor: Ballester-Bolinches, Adolfo Esteban Romero, Ramón Qiao, ShouHong
Entidad UPV: Universitat Politècnica de València. Escola Tècnica Superior d'Enginyeria Informàtica
Fecha difusión:
Resumen:
In this note, global information about a finite group is obtained by assuming that certain subgroups of some given order are S-semipermutable. Recall that a subgroup H of a finite group G is said to be S-semipermutable if ...[+]
Palabras clave: Finite group , P-supersoluble group , S-semipermutable subgroup
Derechos de uso: Reserva de todos los derechos
Fuente:
Archiv der Mathematik. (issn: 0003-889X )
DOI: 10.1007/s00013-016-0901-7
Editorial:
Springer Verlag (Germany)
Versión del editor: https://link.springer.com/article/10.1007/s00013-016-0901-7
Código del Proyecto:
info:eu-repo/grantAgreement/GDUT//Yq2013061/CN/Cultivation Program for Outstanding Young College Teachers
...[+]
info:eu-repo/grantAgreement/GDUT//Yq2013061/CN/Cultivation Program for Outstanding Young College Teachers
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/GDUT//11271085/
info:eu-repo/grantAgreement/NSFC//11201082/
info:eu-repo/grantAgreement/Natural Science Foundation of Guangdong Province//2015A030313791/
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Descripción: The final publication is available at Springer via http://dx.doi.org/10.1007/s00013-016-0901-7
Agradecimientos:
The first and the second authors have been supported by the grant MTM2014-54707-C3-1-P from the Ministerio de Economia y Competitividad, Spain, and FEDER, European Union. The first author has been also supported by NSC of ...[+]
Tipo: Artículo

References

Ballester-Bolinches A., Esteban-Romero R., Asaad M.: Products of finite groups, volume 53 of de Gruyter Expositions in Mathematics. Walter de Gruyter, Berlin (2010)

Guo Y., Isaacs I. M.: Conditions on p-subgroups implying p-nilpotence or p-supersolvability. Arch. Math. 105, 215–222 (2015)

B. Huppert, Endliche Gruppen I, volume 134 of Grund. Math. Wiss. Springer, Berlin, Heidelberg, New York, 1967. [+]
Ballester-Bolinches A., Esteban-Romero R., Asaad M.: Products of finite groups, volume 53 of de Gruyter Expositions in Mathematics. Walter de Gruyter, Berlin (2010)

Guo Y., Isaacs I. M.: Conditions on p-subgroups implying p-nilpotence or p-supersolvability. Arch. Math. 105, 215–222 (2015)

B. Huppert, Endliche Gruppen I, volume 134 of Grund. Math. Wiss. Springer, Berlin, Heidelberg, New York, 1967.

Isaacs I. M.: Semipermutable $${\pi}$$ π -subgroups. Arch. Math. 102, 1–6 (2014)

Kegel O. H.: Sylow-Gruppen und Subnormalteiler endlicher Gruppen. Math. Z. 78, 205–221 (1962)

Li Y., Li B.: On weakly s-supplemented subgroups of finite groups. J. Algebra Appl. 10, 1–10 (2011)

Li Y., Qiao S., Su N., Wang Y.: On weakly s-semipermutable subgroups of finite groups. J. Algebra 371, 250–261 (2012)

Skiba A. N.: On weakly s-permutable subgroups of finite groups. J. Algebra 315, 192–209 (2007)

Wang L., Wang Y.: On s-semipermutable maximal and minimal subgroups of Sylow p-subgroups of finite groups. Comm. Algebra 34, 143–149 (2006)

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