T. Altinel and P. Baginski, Denable envelopes of nilpotent subgroups of groups with chain conditions on centralizers, Proc. Amer, p.14971506, 2014.

R. Baer, Endlichkeitskriterien f???r Kommutatorgruppen, Mathematische Annalen, vol.3, issue.1, pp.161-177, 1951.
DOI : 10.1007/BF01343558

R. Bryant and B. Hartley, Periodic locally soluble groups with the minimal condition on centralizers, Journal of Algebra, vol.61, issue.2, pp.328-334, 1979.
DOI : 10.1016/0021-8693(79)90284-9

R. M. Bryant, Groups with the minimal condition on centralizers, Journal of Algebra, vol.60, issue.2, pp.371-383, 1979.
DOI : 10.1016/0021-8693(79)90089-9

J. Derakhshan and F. O. Wagner, Nilpotency in groups with chain conditions, Quart. J. Math. Oxford Ser, issue.2192, p.48453466, 1997.

U. Felgner, On ?0-categorical extra-special p-groups, Logique et Analyse (N.S.), pp.71-72407, 1975.

H. Fitting, Beiträge zur Theorie der Gruppen endlicher Ordnung, Jahresbericht der Deutschen Mathematiker-Vereinigung, vol.48, p.77141, 1938.

F. Haimo, The $FC$-chain of a group, Journal canadien de math??matiques, vol.5, issue.0, p.498511, 1953.
DOI : 10.4153/CJM-1953-056-2

P. Hall, Some sucient conditions for a group to be nilpotent, Illinois J. Math, vol.2, p.787801, 1958.

K. K. Hickin and J. A. Wenzel, On the normal product of F C-nilpotent and F C-hypercentral groups, Acta Math. Acad. Sci. Hungar, vol.22, p.35535872, 1971.

A. O. Houcine, A remark on the denability of the Fitting subgroup and the soluble radical, MLQ Math. Log. Q, vol.59, p.6265, 2013.

B. Huppert, Endliche Gruppen I. Die Grundlehren der Mathematischen Wissenschaften, 1967.
DOI : 10.1007/978-3-642-64981-3

C. Milliet, Denable envelopes in groups having a simple theory. accepted for publication in J. Algebra, 2012.

C. Milliet, Abstract, The Journal of Symbolic Logic, vol.56, issue.01, p.94110, 2012.
DOI : 10.1007/BF01224936

B. H. Neumann, Groups Covered By Permutable Subsets, Journal of the London Mathematical Society, vol.1, issue.2, p.236248, 1954.
DOI : 10.1112/jlms/s1-29.2.236

D. Palacín and F. O. Wagner, A Fitting theorem for simple groups. accepted for publication in Bull, 2014.

B. Poizat and F. Wagner, Abstract, The Journal of Symbolic Logic, vol.55, issue.02, p.385400, 1993.
DOI : 10.1016/0021-8693(79)90089-9

G. Schlichting, Operationen mit periodischen Stabilisatoren, Archiv der Mathematik, vol.55, issue.263, p.9799, 1980.
DOI : 10.1007/BF01224936

F. O. Wagner, The Fitting Subgroup of a Stable Group, Journal of Algebra, vol.174, issue.2, p.599609, 1995.
DOI : 10.1006/jabr.1995.1142

F. O. Wagner, Simple theories, volume 503 of Mathematics and its Applications, 2000.