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

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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

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  2. [FLM] V. Faber - R. Laver - R. McKENZIE, Coverings of groups by abelian subgroups, Can. J. Math., 30 (1978), pp. 933-945. Zbl0349.20015MR506252
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  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

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