Periodic-by-nilpotent linear groups

B. A. F. Wehrfritz

Rendiconti del Seminario Matematico della Università di Padova (2010)

  • Volume: 124, page 139-144
  • ISSN: 0041-8994

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Wehrfritz, B. A. F.. "Periodic-by-nilpotent linear groups." Rendiconti del Seminario Matematico della Università di Padova 124 (2010): 139-144. <http://eudml.org/doc/241836>.

@article{Wehrfritz2010,
author = {Wehrfritz, B. A. F.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Engel conditions; locally finite groups; periodic-by-nilpotent groups; combinatorial conditions on infinite subsets; finitely generated soluble-by-finite groups; linear groups; lower central series; upper central series},
language = {eng},
pages = {139-144},
publisher = {Seminario Matematico of the University of Padua},
title = {Periodic-by-nilpotent linear groups},
url = {http://eudml.org/doc/241836},
volume = {124},
year = {2010},
}

TY - JOUR
AU - Wehrfritz, B. A. F.
TI - Periodic-by-nilpotent linear groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2010
PB - Seminario Matematico of the University of Padua
VL - 124
SP - 139
EP - 144
LA - eng
KW - Engel conditions; locally finite groups; periodic-by-nilpotent groups; combinatorial conditions on infinite subsets; finitely generated soluble-by-finite groups; linear groups; lower central series; upper central series
UR - http://eudml.org/doc/241836
ER -

References

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  1. [1] L. Fuchs, Infinite Abelian Groups Vol. 1, Academic Press, New York 1970. Zbl0209.05503MR255673
  2. [2] J. C. Lennox - D. J. S. Robinson, The Theory of Infinite Soluble Groups, Clarendon Press, Oxford 2004. Zbl1059.20001MR2093872
  3. [3] D. J. S. Robinson, Finiteness Conditions and Generalized Soluble Groups (2 vols.), Springer-Verlag, Berlin 1972. Zbl0243.20033
  4. [4] T. Rouabhi - N. Trabelsi, A note on torsion-by-nilpotent groups, Rend. Sem. Mat. Univ. Padova, 117 (2007), pp. 175--179. Zbl1162.20024MR2351793
  5. [5] M. Shirvani - B. A. F. Wehrfritz, Skew Linear Groups, Cambridge Univ. Press, Cambridge 1986. Zbl0602.20046MR883801
  6. [6] B. A. F. Wehrfritz, Infinite Linear Groups, Springer-Verlag, Berlin 1973. Zbl0261.20038MR335656
  7. [7] B. A. F. Wehrfritz, On the holomorphs of soluble groups of finite rank, J. Pure & Appl. Algebra, 4 (1974), pp. 55--69. Zbl0286.20031MR347985
  8. [8] B. A. F. Wehrfritz, Hypercentral unipotent subgroups of linear groups, Bull. London Math. Soc. 10 (1978), pp. 310--313. Zbl0398.20054MR519916
  9. [9] B. A. F. Wehrfritz, Periodic normal subgroups of linear groups, Arch. Math. (Basel), 71 (1998), pp. 169--172. Zbl0908.20038MR1637345

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