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p-divisibility of conjugacy class sizes and normal p-complements

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Beltrán, A.; Felipe Román, MJ.; Shao, C. (2015). p-divisibility of conjugacy class sizes and normal p-complements. Journal of Group Theory. 18(1):133-141. doi:10.1515/jgth-2014-0035

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Title: p-divisibility of conjugacy class sizes and normal p-complements
Author: Beltrán, Antonio Felipe Román, María Josefa Shao, Changguo
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
. Let N be a normal subgroup of a group G and let p be a prime. We prove that if the p-part of jx Gj is a constant for every prime-power order element x 2 N n Z.N /, then N is solvable and has normal p-complement.
Subjects: Finite groups , Conjugacy class sizes , Normal subgroups , Prime-power order elements
Copyrigths: Reserva de todos los derechos
Journal of Group Theory. (issn: 1433-5883 ) (eissn: 1435-4446 )
DOI: 10.1515/jgth-2014-0035
De Gruyter
Publisher version: http://dx.doi.org/10.1515/jgth-2014-0035
Project ID:
Valencian Government, Proyecto PROMETEO/2011/30
Spanish Government, Proyecto MTM2010-19938-C03-02
Project NNSF of China (Grant No. 11201401 and No. 11301218)
University of Jinan Research Funds for Doctors (XBS1335 and XBS1336)
Description: The final publication is available at www.degruyter.com
This research is supported by the Valencian Government, Proyecto PROMETEO/2011/30, and by the Spanish Government, Proyecto MTM2010-19938-C03-02. The third author is supported by the research Project NNSF of China (Grant ...[+]
Type: Artículo

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