The derived $p$-length of finite $p$-soluble groups
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2014), pp. 3-7 Cet article a éte moissonné depuis la source Math-Net.Ru

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The derived $p$-length of a finite $p$-soluble group is introduced and its elementary properties are described. New estimates of the derived $p$-length of a finite $p$-soluble group are obtained depending on the construction of Sylow $p$-subgroups.
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O. A. Shpyrko. The derived $p$-length of finite $p$-soluble groups. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2014), pp. 3-7. http://geodesic.mathdoc.fr/item/VMUMM_2014_5_a0/

[1] Monakhov V.S., Vvedenie v teoriyu konechnykh grupp i ikh klassov, Vysheishaya shkola, Minsk, 2006 | MR

[2] Hall P., Higman G., “On the $p$-length of $p$-soluble groups and reduction theorems for Burnside's problem”, Proc. London Math. Soc., 3 (1956), 1–42 | DOI | MR | Zbl

[3] Shemetkov L.A., “O $p$-dline proizvolnykh konechnykh grupp”, Dokl. AN BSSR, XIII:5 (1969), 394–395 | MR | Zbl

[4] Huppert B., Endliche Gruppen I, Walter de Gruyter, Berlin–Heidelberg–N.Y., 1967 | MR

[5] Anischenko A.G., Monakhov V.S., “Tsentralnye peresecheniya i $p$-dlina $p$-razreshimykh grupp”, Dokl. AN BSSR, XXI:11 (1977), 968–971

[6] Mazurov V.D., “O $p$-dline razreshimykh grupp”, VI Vsesoyuz. simp. po teorii grupp, Kiev, 1980, 50–60 | Zbl

[7] Zhurtov A.Kh., Syskin S.A., “O gruppakh Shmidta”, Sib. matem. zhurn., XXVIII:2 (1987), 74–78 | MR | Zbl

[8] Shpyrko O.A., “O proizvodnoi $\pi$-dline konechnoi $\pi$-razreshimoi gruppy”, Tavrich. vestn. Matem. i Inform., 2005, no. 1, 49–54

[9] Monakhov V.S., Shpyrko O.A., “O maksimalnykh podgruppakh v konechnykh $\pi$-razreshimykh gruppakh”, Vestn. Mosk. un-ta. Matem. Mekhan., 2009, no. 6, 3–8 | MR | Zbl

[10] Kazarin L.S., “Soluble product of groups”, Infinite groups 94, Walter de Gruyter, Berlin–N.Y., 1995, 111–123 | MR