A note on torsion-by-nilpotent groups

Tarek Rouabhi; Nadir Trabelsi

Rendiconti del Seminario Matematico della Università di Padova (2007)

  • Volume: 117, page 175-179
  • ISSN: 0041-8994

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Rouabhi, Tarek, and Trabelsi, Nadir. "A note on torsion-by-nilpotent groups." Rendiconti del Seminario Matematico della Università di Padova 117 (2007): 175-179. <http://eudml.org/doc/108709>.

@article{Rouabhi2007,
author = {Rouabhi, Tarek, Trabelsi, Nadir},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finitely generated soluble-by-finite groups; torsion-by-nilpotent groups; infinite subsets},
language = {eng},
pages = {175-179},
publisher = {Seminario Matematico of the University of Padua},
title = {A note on torsion-by-nilpotent groups},
url = {http://eudml.org/doc/108709},
volume = {117},
year = {2007},
}

TY - JOUR
AU - Rouabhi, Tarek
AU - Trabelsi, Nadir
TI - A note on torsion-by-nilpotent groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2007
PB - Seminario Matematico of the University of Padua
VL - 117
SP - 175
EP - 179
LA - eng
KW - finitely generated soluble-by-finite groups; torsion-by-nilpotent groups; infinite subsets
UR - http://eudml.org/doc/108709
ER -

References

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  1. [1] A. ABDOLLAHI, Some Engel conditions on infinite subsets of certain groups, Bull. Austral. Math. Soc. 62 (2000), pp. 141-148. Zbl0964.20019MR1775895
  2. [2] C. J. B. BROOKES, Engel elements of soluble groups, Bull. London Math. Soc., 18 (1986), pp. 7-10. Zbl0556.20028MR841360
  3. [3] L. HAMMOUDI, Burnside and Kuroch Problems, Internat. J. Algebra Comput., 14 (2004), pp. 197-211. Zbl1087.16013MR2058320
  4. [4] P. LONGOBARDI - M. MAJ, Finitely generated soluble groups with an Engel condition on infinite subsets, Rend. Sem. Mat. Univ. Padova, 89 (1993), 97-102. Zbl0797.20031MR1229046
  5. [5] B. H. NEUMANN, A problem of Paul Erdös on groups, J. Austral. Math. Soc. ser. A, 21 (1976), pp. 467-472. Zbl0333.05110MR419283
  6. [6] D. J. S. ROBINSON, Finiteness conditions and generalized soluble groups, (Springer-Verlag, Berlin, Heidelberg, New York 1972). Zbl0243.20033
  7. [7] N. TRABELSI, Soluble groups with many 2-generated torsion-by-nilpotent subgroups, Publ. Math. Debrecen, 67/1-2 (2005), pp. 93-102. Zbl1094.20018MR2163117

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