Characterisation of finitely generated soluble finite-by-nilpotent groups
Rendiconti del Seminario Matematico della Università di Padova (2004)
- Volume: 111, page 119-126
- ISSN: 0041-8994
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topBoukaroura, Ali. "Characterisation of finitely generated soluble finite-by-nilpotent groups." Rendiconti del Seminario Matematico della Università di Padova 111 (2004): 119-126. <http://eudml.org/doc/108622>.
@article{Boukaroura2004,
author = {Boukaroura, Ali},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite-by-nilpotent groups; infinite subsets; finitely generated groups; soluble groups},
language = {eng},
pages = {119-126},
publisher = {Seminario Matematico of the University of Padua},
title = {Characterisation of finitely generated soluble finite-by-nilpotent groups},
url = {http://eudml.org/doc/108622},
volume = {111},
year = {2004},
}
TY - JOUR
AU - Boukaroura, Ali
TI - Characterisation of finitely generated soluble finite-by-nilpotent groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2004
PB - Seminario Matematico of the University of Padua
VL - 111
SP - 119
EP - 126
LA - eng
KW - finite-by-nilpotent groups; infinite subsets; finitely generated groups; soluble groups
UR - http://eudml.org/doc/108622
ER -
References
top- [1] A. ABDOLLAHI, A characterization of infinite 3-abelian groups, Arch. Math. (Basel), 73 (1999), pp. 104-108. Zbl0936.20038MR1703676
- [2] A. ABDOLLAHI - B. TAERI, Some conditions on infinite subsets of infinite groups, Bull. Malaysian Math. Soc. (Second Series), 22 (1999), pp. 87-93. Zbl1006.20034MR1747663
- [3] A. ABDOLLAHI - B. TAERI, A condition on finitely generated soluble groups, Comm. Algebra, 27 (1999), pp. 5633-5638. Zbl0942.20014MR1713058
- [4] A. ABDOLLAHI - B. TAERI, A condition on a certain variety of groups, Rend. Sem. Mat. Univ. Padova, 104 (2000), pp. 129-134. Zbl1013.20021MR1809354
- [5] A. ABDOLLAHI - N. TRABELSSI, Quelques extentions d’un problème de Paul Erdos sur les groupes, Bull. Belg. Math. Soc. Zbl1041.20022
- [6] R. BAER, Representations of groups as quotient groups II, Trans. Amer. Soc, 58 (1945), pp. 348-389. Zbl0061.02703MR15107
- [7] A. BOUKAROURA, Two conditions for infinite groups to satisfy certain laws, Algebra Colloq., 10:1 (2003), pp. 75-80. Zbl1031.20018MR1961508
- [8] C. DELIZIA - H. SMITH - A. H. RHAMTULLA, Locally graded groups with a nilpotency condition on infinite subsets, J. Austral. Math. Soc. A, 69 (2000), pp. 415-420. Zbl0982.20019MR1793472
- [9] G. ENDIMIONI, Groupes finis satisfaisant la condition ], n), C. R. Acad. Sci. Paris. Série I, 319 (1994), pp. 1245-1247. Zbl0822.20023MR1310664
- [10] K. W. GRUENBERG, Residual properties of infinite soluble groups, Proc. London Math. Soc., 7 (1957), pp. 29-62. Zbl0077.02901MR87652
- [11] P. HALL, Finite by nilpotent groups, Proc. Combridge Phlos. Soc., 52 (1956), pp. 611-616. Zbl0072.25801MR80095
- [12] O. H. KEGEL - B. A. F. WEHRFRITS, Locally finite groups, North-Holland, Amsterdam 1973. Zbl0259.20001
- [13] P. S. KIM - A. H. RHEMTULLA - H. SMITH, A characterization of infinite metabelian groups, Houston J. Math., 17 (1991), pp. 129-137. Zbl0744.20033
- [14] J. C. LENNOX - J. WIEGOLD, Extension of a problem of Paul Erdos on groups, J. Austral. Math. Soc., 31 (1981), pp. 459-463. Zbl0492.20019MR638274
- [15] P. LONGOBARDI - M. MAJ, A finiteness condition concerning commutators in groups, Houston J. Math., 19 (4) (1993), pp. 505-512. Zbl0813.20026MR1251605
- [16] P. LONGOBARDI - M. MAJ - A. H. RHEMTULLA, Infinite groups in a given variety and Ramsey’s theorem, Comm. Algebra, 20 (1992), pp. 127-139. Zbl0751.20020MR1145329
- [17] B. H. NEUMANN, A problem of Paul Erdos on groups, J. Austral. Math. Soc. Ser. A, 21 (1976), pp. 467-472. Zbl0333.05110MR419283
- [18] D. J. S. ROBINSON, A course in the theory of groups, Springer-Verlag, New York, 1982. Zbl0483.20001MR648604
- [19] D. SEGAL, A residual property of finitely generated abelian by nilpotent groups, J. Algebra, 32 (1974), pp. 389-399. Zbl0293.20029MR419612
- [20] L. S. SPIEZIA, A characterization of the third Engel groups, Arch. Math. (Basel), 64 (1995), pp. 369-373. Zbl0823.20038MR1323912
- [21] B. TAERI, A Question of Paul Erdos and nilpotent-by-finite groups, Bull. Austral. Math. Soc., 64 (2001), pp. 245-254. Zbl0995.20020MR1860061
- [22] N. TRABELSSI, Characterisation of nilpotent-by-finite groups, Bull. Austral. Math. Soc., 61 (2000), pp. 33-38. Zbl0959.20034MR1819313
- [23] B. A. F. WEHRFRITS, Infinite linear groups (Springer, 1973). Zbl0261.20038
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