Finitely generated soluble groups with an Engel condition on infinite subsets

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1. [1] M. Curzio - J.C. Lennox - A.H. Rhemtulla - J. Wiegold, Groups with many permutable subgroups, J. Austral. Math. Soc. (Series A), 48 (1988), pp. 397-401. Zbl0705.20030MR1050626
2. [2] J.R.J. Groves, A conjecture of Lennox and Wiegold concerning supersoluble groups, J. Austral. Math. Soc. (Series A), 35 (1983), pp. 218-220. Zbl0515.20020MR704428
3. [3] P. Hall, Finite-by-nilpotent groups, Proc. Cambridge Phil. Soc., 52 (1956), pp. 611-616. Zbl0072.25801MR80095
4. [4] J.C. Lennox, Bigenetic properties of finitely generated hyper-(abelian-by-finite) groups, J. Austral. Math. Soc. (Series A), 16 (1973), pp. 309-315. Zbl0273.20034MR335643
5. [5] P. Longobardi - M. MAJ - A. H. RHEMTULLA - H. SMITH, Periodic groups with many permutable subgroups, J. Austral. Math. Soc., 53 (1992), pp. 116-119. Zbl0768.20015MR1164781
6. [6] J.C. Lennox - J. Wiegold, Extensions of a problem of Paul Erdös on groups, J. Austral. Math. Soc. (Series A), 31 (1981), pp. 459-463. Zbl0492.20019MR638274
7. [7] B.H. Neumann, A problem of Paul Erdös on groups, J. Austral. Math. Soc. (Series A), 21 (1976), pp. 467-472. Zbl0333.05110MR419283
8. [8] D.J.S. Robinson, Finiteness Conditions and Generalized Soluble Groups, part I and II, Springer-Verlag, Berlin (1972). Zbl0243.20033
9. [9] M.J. Tomkinson, Hypercentre-by-ftnite groups, University of Glasgow, Department of Mathematics, Preprint Series, Paper No. 90/55 (1990). Zbl0777.20012

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