Characterisation of finitely generated soluble finite-by-nilpotent groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 111 (2004), pp. 119-126. 
@article{RSMUP_2004__111__119_0,
     author = {Boukaroura, Ali},
     title = {Characterisation of finitely generated soluble finite-by-nilpotent groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {119--126},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {111},
     year = {2004},
     mrnumber = {2076735},
     zbl = {1119.20039},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_2004__111__119_0/}
}
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Boukaroura, Ali. Characterisation of finitely generated soluble finite-by-nilpotent groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 111 (2004), pp. 119-126. http://archive.numdam.org/item/RSMUP_2004__111__119_0/

[1] A. Abdollahi, A characterization of infinite 3-abelian groups, Arch. Math. (Basel), 73 (1999), pp. 104-108. | MR | Zbl

[2] A. Abdollahi - B. Taeri, Some conditions on infinite subsets of infinite groups, Bull. Malaysian Math. Soc. (Second Series), 22 (1999), pp. 87-93. | MR | Zbl

[3] A. Abdollahi - B. Taeri, A condition on finitely generated soluble groups, Comm. Algebra, 27 (1999), pp. 5633-5638. | MR | Zbl

[4] A. Abdollahi - B. Taeri, A condition on a certain variety of groups, Rend. Sem. Mat. Univ. Padova, 104 (2000), pp. 129-134. | Numdam | MR | Zbl

[5] A. Abdollahi - N. Trabelssi, Quelques extentions d'un problème de Paul Erdos sur les groupes, Bull. Belg. Math. Soc. | Zbl

[6] R. Baer, Representations of groups as quotient groups II, Trans. Amer. Soc, 58 (1945), pp. 348-389. | MR | Zbl

[7] A. Boukaroura, Two conditions for infinite groups to satisfy certain laws, Algebra Colloq., 10:1 (2003), pp. 75-80. | MR | Zbl

[8] C. Delizia - H. Smith - A. H. Rhamtulla, Locally graded groups with a nilpotency condition on infinite subsets, J. Austral. Math. Soc. A, 69 (2000), pp. 415-420. | MR | Zbl

[9] G. Endimioni, Groupes finis satisfaisant la condition ], n), C. R. Acad. Sci. Paris. Série I, 319 (1994), pp. 1245-1247. | MR | Zbl

[10] K. W. Gruenberg, Residual properties of infinite soluble groups, Proc. London Math. Soc., 7 (1957), pp. 29-62. | MR | Zbl

[11] P. Hall, Finite by nilpotent groups, Proc. Combridge Phlos. Soc., 52 (1956), pp. 611-616. | MR | Zbl

[12] O. H. Kegel - B. A. F. Wehrfrits, Locally finite groups, North-Holland, Amsterdam 1973. | Zbl

[13] P. S. Kim - A. H. Rhemtulla - H. Smith, A characterization of infinite metabelian groups, Houston J. Math., 17 (1991), pp. 129-137. | Zbl

[14] J. C. Lennox - J. Wiegold, Extension of a problem of Paul Erdos on groups, J. Austral. Math. Soc., 31 (1981), pp. 459-463. | MR | Zbl

[15] P. Longobardi - M. Maj, A finiteness condition concerning commutators in groups, Houston J. Math., 19 (4) (1993), pp. 505-512. | MR | Zbl

[16] P. Longobardi - M. Maj - A. H. Rhemtulla, Infinite groups in a given variety and Ramsey's theorem, Comm. Algebra, 20 (1992), pp. 127-139. | MR | Zbl

[17] B. H. Neumann, A problem of Paul Erdos on groups, J. Austral. Math. Soc. Ser. A, 21 (1976), pp. 467-472. | MR | Zbl

[18] D. J. S. Robinson, A course in the theory of groups, Springer-Verlag, New York, 1982. | MR | Zbl

[19] D. Segal, A residual property of finitely generated abelian by nilpotent groups, J. Algebra, 32 (1974), pp. 389-399. | MR | Zbl

[20] L. S. Spiezia, A characterization of the third Engel groups, Arch. Math. (Basel), 64 (1995), pp. 369-373. | MR | Zbl

[21] B. Taeri, A Question of Paul Erdos and nilpotent-by-finite groups, Bull. Austral. Math. Soc., 64 (2001), pp. 245-254. | MR | Zbl

[22] N. Trabelssi, Characterisation of nilpotent-by-finite groups, Bull. Austral. Math. Soc., 61 (2000), pp. 33-38. | MR | Zbl

[23] B. A. F. Wehrfrits, Infinite linear groups (Springer, 1973). | Zbl