On the p-length of some finite p-soluble groups

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2014
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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.
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Ballester Bolinches, Adolfo Esteban Romero, Ramón Ezquerro Marín, Luis Miguel 2014 On the p-length of some finite p-soluble groups Israel Journal of Mathematics 204 1 359 371