References
N. D. Gupta andM. F. Newman, Third Engel groups. Bull. Austral. Math. Soc.40, 215–230 (1989).
H. Heineken, Engelsche Elemente der Länge drei. Illinois J. Math.5, 681–707 (1961).
L.-C. Kappe andW. P. Kappe, On Three-Engel groups. Bull. Austral. Math. Soc.7, 391–405 (1972).
P. Longobardi, M. Maj andA. H. Rhemtulla, Infinite groups in a given variety and Ramsey's theorem. Comm. Algebra20, 127–139 (1992).
B. H. Neumann, A problem of Paul Erdös on groups. J. Austral. Math. Soc. Ser. A21, 467–472 (1976).
H.Neumann, Varieties of groups. Ergebnisse der Mathematik und ihrer Grenzgebiete. Band37. Berlin-Heidelberg-New York 1967.
O. Puglisi andL. S. Spiezia, A combinatorial property of certain infinite groups. Comm. Algebra22, 1457–1465 (1994).
D. J. S.Robinson, Finiteness conditions and generalized soluble groups. Part I and Part II. Berlin-Heidelberg-New York 1972.
D. J. S.Robinson, A course in the theory of groups. Berlin-Heidelberg-New York 1982.
L. S. Spiezia, Infinite locally solublek-Engel groups. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (9)3, 177–183 (1992).
L. S. Spiezia, A property of the variety of 2-Engel groups. Rend. Sem. Mat. Univ. Padova91, 225–228 (1994).
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Spiezia, L.S. A characterization of third Engel groups. Arch. Math 64, 369–373 (1995). https://doi.org/10.1007/BF01197213
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DOI: https://doi.org/10.1007/BF01197213