Finitely generated soluble groups with an Engel condition on infinite subsets

Alireza Abdollahi

Rendiconti del Seminario Matematico della Università di Padova (2000)

  • Volume: 103, page 47-49
  • ISSN: 0041-8994

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Abdollahi, Alireza. "Finitely generated soluble groups with an Engel condition on infinite subsets." Rendiconti del Seminario Matematico della Università di Padova 103 (2000): 47-49. <http://eudml.org/doc/108527>.

@article{Abdollahi2000,
author = {Abdollahi, Alireza},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finitely generated soluble groups; infinite sets of elements; commutativity conditions; Engel conditions},
language = {eng},
pages = {47-49},
publisher = {Seminario Matematico of the University of Padua},
title = {Finitely generated soluble groups with an Engel condition on infinite subsets},
url = {http://eudml.org/doc/108527},
volume = {103},
year = {2000},
}

TY - JOUR
AU - Abdollahi, Alireza
TI - Finitely generated soluble groups with an Engel condition on infinite subsets
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2000
PB - Seminario Matematico of the University of Padua
VL - 103
SP - 47
EP - 49
LA - eng
KW - finitely generated soluble groups; infinite sets of elements; commutativity conditions; Engel conditions
UR - http://eudml.org/doc/108527
ER -

References

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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] C. Delizia, Finitely generated soluble groups with a condition on infinite subsets, Instit. Lombardo Accad. Sci. Lett. Rend.A, 128 (1994), pp. 201-208. Zbl0882.20020MR1433488
  3. [3] C. Delizia, On certain residually finite groups, Comm. Algebra, 24 (1996), pp. 3531-3535. Zbl0878.20021MR1405272
  4. [4] 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
  5. [5] P. Kim - A. RHEMTULLA - H. SMITH, A characterization of infinite metabelian groups, Houston J. Math.17 (1991), pp. 429-437. Zbl0744.20033MR1126607
  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] P. Longobardi - M. MAJ, Finitely generated soluble groups with an Engel condition on infinite subsets, Rend. Sem. Mat. Univ. Padova, Vol. 89 (1993), pp. 97-102. Zbl0797.20031MR1229046
  8. [8] P. Longobardi - M. MAJ - A. RHEMTULLA, Infinite groups in a given variety and Ramsey's theorem, Comm. Algebra, 201 (1992), pp. 127-139. Zbl0751.20020MR1145329
  9. [9] B.H. Neumann, A problem of Paul Erdös on groups, J. Austral. Math. Soc. (Series A), 21 (1976), pp. 467-472. Zbl0333.05110MR419283
  10. [10] D.J.S. Robinson, Finiteness conditions and generalized soluble groups, Part II, Springer-Verlag, Berlin (1972). Zbl0243.20033
  11. [11] M.J. Tomkinson, Hypercentre-by-finite groups, Publ. Math. Debrecen, 40 (1992), pp. 313-321. Zbl0777.20012MR1181376

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