Geodesic
Zaitsev-type results
Algebra i logika, Tome 53 (2014) no. 2, pp. 141-161.

Voir la notice de l'article provenant de la source Math-Net.Ru

Certain results on soluble groups due to D. I. Zaitsev are extended to some more general contexts, for instance, to groups that satisfy an outer commutator word law.
Mots-clés : soluble group
Keywords: nilpotent group, block, outer commutator word law. 
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Ah. Arikan; Ayn. Arikan; N. Trabelsi. Zaitsev-type results. Algebra i logika, Tome 53 (2014) no. 2, pp. 141-161. http://geodesic.mathdoc.fr/item/AL_2014_53_2_a0/

[1] D. I. Zaitsev, “Ustoichivo razreshimye gruppy”, Izv. AN SSSR. Ser. matem., 33:4 (1969), 765–780 | MR | Zbl

[2] D. I. Zaitsev, “O suschestvovanii ustoichivo nilpotentnykh podgrupp v lokalno nilpotentnykh gruppakh”, Matem. zametki, 4:3 (1968), 361–368 | Zbl

[3] D. I. Zaitsev, “Ustoichivo nilpotentnye gruppy”, Matem. zametki, 2:4 (1967), 337–346 | MR | Zbl

[4] D. I. Zaitsev, “Ustoichivo razreshimye i ustoichivo nilpotentnye gruppy”, Dokl. AN SSSR, 176:3 (1967), 509–511 | Zbl

[5] V. V. Kirichenko, L. A. Kurdachenko, J. Otal, I. Ya. Subbotin, “On the contribution of D. I. Zaitsev to the theory of infinite groups”, Algebra Discrete Math., 13:1 (2012), 59–91 | MR | Zbl

[6] D. J. S. Robinson, A course in the theory of groups, Grad. Texts Math., 80, Springer-Verlag, New York, NY, 1995 | Zbl

[7] A. Arıkan, H. Smith, N. Trabelsi, “On certain applications of Khukhro–Makarenko theorem”, Glasg. Math. J., 55:2 (2013), 275–283 | DOI | MR