Publication: On the p-length of some finite p-soluble groups
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Date
2014
Authors
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Publisher
Springer
Acceso abierto / Sarbide irekia
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Versión aceptada / Onetsi den bertsioa
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Abstract
The main aim of this paper is to give structural information of a finite group of minimal order belonging to a subgroup-closed class of finite groups and whose p-length is greater than 1, p a prime number. Alternative proofs and improvements of recent results about the influence of minimal p-subgroups on the p-nilpotence and p-length of a finite group arise as consequences of our study.
Keywords
Normal subgroup, Finite group, Maximal subgroup, Direct summand, Semidirect product
Department
Matemáticas / Matematika
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Doctorate program
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Funding entities
The research of the authors is supported by Proyecto MTM2010-19938-C03-01/03 of the Ministerio de Ciencia e Innovación de España. The first author is also supported by Project of NSFC (11271085).
© 2014, Springer Nature
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