A condition on a certain variety of groups

Alireza Abdollahi; Bijan Taeri

Rendiconti del Seminario Matematico della Università di Padova (2000)

  • Volume: 104, page 129-134
  • ISSN: 0041-8994

How to cite

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Abdollahi, Alireza, and Taeri, Bijan. "A condition on a certain variety of groups." Rendiconti del Seminario Matematico della Università di Padova 104 (2000): 129-134. <http://eudml.org/doc/108531>.

@article{Abdollahi2000,
author = {Abdollahi, Alireza, Taeri, Bijan},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {varieties of groups; exponents; Burnside varieties; combinatorial conditions on infinite subsets},
language = {eng},
pages = {129-134},
publisher = {Seminario Matematico of the University of Padua},
title = {A condition on a certain variety of groups},
url = {http://eudml.org/doc/108531},
volume = {104},
year = {2000},
}

TY - JOUR
AU - Abdollahi, Alireza
AU - Taeri, Bijan
TI - A condition on a certain variety of groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2000
PB - Seminario Matematico of the University of Padua
VL - 104
SP - 129
EP - 134
LA - eng
KW - varieties of groups; exponents; Burnside varieties; combinatorial conditions on infinite subsets
UR - http://eudml.org/doc/108531
ER -

References

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  1. [1] A. Abdollahi, A characterization of infinite 3-abelian groups, Arch. Math. (Basel), 73 (1999), pp. 104-108. Zbl0936.20038MR1703676
  2. [2] C. Delizia, On groups with a nilpotence condition on infinite subsets, Algebra Colloq., 2 (1995), pp. 97-104. Zbl0839.20047MR1329140
  3. [3] G. Endimioni, On a combinatorial problem in varieties of groups, Comm. Algebra, 23 (1995), pp. 5297-5307. Zbl0859.20021MR1363602
  4. [4] P.S. Kim - A.H. Rhemtulla - H. Smith, A characterization of infinite metabelian groups, Houston J. Math., 17 (1991), pp. 429-437. Zbl0744.20033MR1126607
  5. [5] P. Longobardi - M. MAJ, A finiteness condition concerning commutators in groups, Houston J. Math., 19 (1993), pp. 505-512. Zbl0813.20026MR1251605
  6. [6] P. Longobardi - M. MAJ - A. RHEMTULLA, Infinite groups in a given variety and Ramsey's theorem, Comm. Algebra, 20 (1992), pp. 127-139. Zbl0751.20020MR1145329
  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] A. Yu.OL'SHANSKII, Geometry of defining relations in groups, Kluwer Academic Publishers (1991). Zbl0732.20019MR1191619
  9. [9] D.J.S. Robinson, A course in the theory of groups, Springer-Verlag, New York (1982). Zbl0483.20001MR648604
  10. [10] L.S. Spiezia, A property of the variety of 2-Engel groups, Rend. Sem. Mat. Univ. Padova, 91 (1994), pp. 225-228. Zbl0816.20027MR1289638
  11. [11] L.S. Spiezia, A characterization of third Engel groups, Arch. Math. (Basel), 64 (1995), pp. 369-373. Zbl0823.20038MR1323912

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