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Adolfo Ballester-Bolinches, Luis M. Ezquerro, and Ning Su.
On bounds for the p-length of finite p-soluble groups.
Collect. Math., 67(3):373–378, 2016.
The aim of this paper is to obtain a bound for the p-length of a p-soluble group G whose elements of order p or order 4 (if p=2) of a Sylow p-subgroup of a residual subgroup of G are contained in the k-th term of the upper central series of a Sylow p-subgroup of G.
2010 Mathematics Subject Classification: 20D10, 20D20
Keywords: Finite group, p-soluble group, p-length