Groups with many nilpotent subgroups

Patrizia Longobardi; Mercede Maj; Avinoam Mann; Akbar Rhemtulla

Rendiconti del Seminario Matematico della Università di Padova (1996)

  • Volume: 95, page 143-152
  • ISSN: 0041-8994

How to cite

top

Longobardi, Patrizia, et al. "Groups with many nilpotent subgroups." Rendiconti del Seminario Matematico della Università di Padova 95 (1996): 143-152. <http://eudml.org/doc/108387>.

@article{Longobardi1996,
author = {Longobardi, Patrizia, Maj, Mercede, Mann, Avinoam, Rhemtulla, Akbar},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {infinite subsets of elements; nilpotent subgroups; finitely generated groups; upper central series; torsion-free groups; torsion free (N) groups; FC-groups; subgroups of finite index; Ramsey's Theorem},
language = {eng},
pages = {143-152},
publisher = {Seminario Matematico of the University of Padua},
title = {Groups with many nilpotent subgroups},
url = {http://eudml.org/doc/108387},
volume = {95},
year = {1996},
}

TY - JOUR
AU - Longobardi, Patrizia
AU - Maj, Mercede
AU - Mann, Avinoam
AU - Rhemtulla, Akbar
TI - Groups with many nilpotent subgroups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 95
SP - 143
EP - 152
LA - eng
KW - infinite subsets of elements; nilpotent subgroups; finitely generated groups; upper central series; torsion-free groups; torsion free (N) groups; FC-groups; subgroups of finite index; Ramsey's Theorem
UR - http://eudml.org/doc/108387
ER -

References

top
  1. [CLMR] M. Curzio - P. LONGOBARDI - M. MAJ - A. RHEMTULLA, Groups with many rewritable products, Proc. Amer. Math. Soc., 115 (1992), pp. 931-934. Zbl0772.20014MR1086580
  2. [FLM] V. Faber - R. Laver - R. McKENZIE, Coverings of groups by abelian subgroups, Can. J. Math., 30 (1978), pp. 933-945. Zbl0349.20015MR506252
  3. [G] J.R.J. Groves, A conjecture of Lennox and Wiegold concerning supersoluble groups, J. Austral. Math. Soc. (A), 35 (1983), pp. 218-220. Zbl0515.20020MR704428
  4. [LMR] P. Longobardi - M. Maj - A. Rhemtulla, Infinite groups in a given variety and Ramsey's theorem, Comm. Alg., 20 (1992), pp. 127-139. Zbl0751.20020MR1145329
  5. [LW] J.C. Lennox - J. Wiegold, Extensions of a problem of Paul Erdös on groups, J. Austral. Math. Soc. (A), 31 (1981), pp. 459-463. Zbl0492.20019MR638274
  6. [N] B.H. Neumann, A problem of Paul Erdös on groups, J. Austral. Math. Soc., 21 (1976), pp. 467-472. Zbl0333.05110MR419283
  7. [R] D.J.S. Robinson, Finiteness Conditions and Generalized Soluble Groups, Springer-Verlag, Berlin (1972). Zbl0243.20032
  8. [T1] M.J. Tomkinson, FC-Groups, Pitman Advanced Publishing Program, London (1984). Zbl0547.20031MR742777
  9. [T2] M.J. Tomkinson, Groups covered by finitely many cosets of subgroups, Comm. Alg., 15 (1987), pp. 845-859. Zbl0613.20025MR877200

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.