Geodesic
A BOUND ON THE p-LENGTH OF P-SOLVABLE GROUPS
Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 167-171

Voir la notice de l'article provenant de la source Cambridge University Press

Let G be a finite p-solvable group and P a Sylow p-subgroup of G. Suppose that $\gamma_{\ell (p-1)}(P)\subseteq \gamma_r(P)^{p^s}$ for l(p−1) < r + s(p − 1), then the p-length is bounded by a function depending on l. 
GONZÁLEZ-SÁNCHEZ, JON; SPAGNUOLO, FRANCESCA. A BOUND ON THE p-LENGTH OF P-SOLVABLE GROUPS. Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 167-171. doi: 10.1017/S0017089514000196
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[1] 1.Fernandez-Alcober, G. A., Gonzalez-Sanchez, J. and Jaikin-Zapirain, A., Omega subgroups of pro-p groups, Isr. J. Math. 166 (2008), 393–412. Google Scholar

[2] 2.Gonzalez-Sanchez, J. and Weigel, T. S., Finite p-central groups of height k, Isr. J. Math. 181 (2011), 125–143. Google Scholar

[3] 3.Gorenstein, D. E., Finite groups (Chelsea, New York NY, 1980). Google Scholar

[4] 4.Hall, P. and Higman, G., The p-length of a p-solvable group and reduction theorems for Burnside's problem, Proc. London Math. Soc. 6 (3) (1956), 1–42. Google Scholar | DOI

[5] 5.Khukhro, E. I., On p-solvable groups with a generalized p-central or powerful Sylow p-subgroup, Int. J. Group Theory 1 (2) (2012, June), 51–57 (7). Google Scholar

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