On minimal non- (torsion-by-nilpotent) and non- ( (locally finite) -by-nilpotent) groups
Trabelsi, N.
Comptes Rendus. Mathematique 344(6): 353-356
2007
ISSN/ISBN: 1631-073X Accession: 076952574
PDF emailed within 1 workday: $29.90
Related References
Amberg, B.; Sysak, Y. 1995: Groups with Finite Torsion-Free Rank which have a Locally Nilpotent Triple Factorization Journal of Algebra 178(1): 136-148Dixon, M.R.; Evans, M.J.; Smith, H. 2002: Locally Soluble-by-Finite Groups with the Weak Minimal Condition on Non-Nilpotent Subgroups Journal of Algebra 249(1): 226-246
Asar, A.O. 2000: Locally Nilpotent p-Groups whose Proper Subgroups are Hypercentral or Nilpotent-by-Chernikov Journal of the London Mathematical Society 61(2): 412-422
Dixon, M.R.; Kurdachenko, L.A. 2001: Locally nilpotent groups with the maximum condition on non-nilpotent subgroups Glasgow Mathematical Journal 43(1): 85-102
Hai, J.; Li, Z. 2012: The Normalizer Property for Integral Group Rings of Some Finite Nilpotent-by-Nilpotent Groups Communications in Algebra 40(7): 2613-2627
Scevenels, D. 1996: The genus of a direct product of certain nilpotent groups with a finite nilpotent group Archiv der Mathematik 66(2): 93-100
Wehrfritz, B. 1989: Some nilpotent and locally nilpotent matrix groups Journal of Pure and Applied Algebra 60(3): 289-312
Ballesterbolinches, A.; Estebanromero, R.; Robinson, D.J.S. 2005: On finite minimal non-nilpotent groups Proceedings of the American Mathematical Society 133(12): 3455-3462
Hartley, B. 1976: Splitting over the Locally Nilpotent Residual for a Class of Locally Finite Groups The Quarterly Journal of Mathematics 27(4): 395-400
Lukashova, T.D. 2019: Infinite locally finite groups with the locally nilpotent non-Dedekind norm of decomposable subgroups Communications in Algebra 48(3): 1052-1057
Franciosi, S.; de Giovanni, F.; Sysak, Y.P. 1996: On locally finite groups factorized by locally nilpotent subgroups Journal of Pure and Applied Algebra 106(1): 45-56
Höfling, B. 1999: Subgroups of locally finite products of locally nilpotent groups Glasgow MathematicalJournal 41(3): 323-343
Bruno, B.; Schuur, S.E. 1993: On locally finite groups with a locally nilpotent maximal subgroup Archiv der Mathematik 61(3): 215-220
Dixon, M.R.; Evans, M.J.; Smith, H. 2008: Residually finite subgroups of locally nilpotent groups Journal of Algebra 320(1): 81-85
Dilmi, A. 2007: Groups whose proper subgroups are locally finite-by-nilpotent Annales Mathematiques Blaise Pascal 14(1): 29-35
Dixon, M.R.; Evans, M.J.; Smith, H. 1999: Locally (soluble-by-finite) groups with all proper non-nilpotent subgroups of finite rank Journal of Pure and Applied Algebra 135(1): 33-43
Altinel, T.; Wilson, J.S.; Knight, J. 2009: On the Linearity of Torsion-Free Nilpotent Groups of Finite Morley Rank Proceedings of the American Mathematical Society 137(5): 1813-1821
Seifter, N. 1989: On the Action of Nilpotent and Metabelian Groups on Infinite, Locally Finite Graphs European Journal of Combinatorics 10(1): 41-45
Ramezan-Nassab, M.; Kiani, D. 2011: Nilpotent and Locally Finite Maximal Subgroups of Skew Linear Groups Journal of Algebra and Its Applications 10(04): 615-622
Hadjievangelou, A.; Noce, M.; Traustason, G. 2020: Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent International Journal of Algebra and Computation 31(01): 135-160