On soluble groups in which centralizers are finitely generated

John C. Lennox

Rendiconti del Seminario Matematico della Università di Padova (1996)

  • Volume: 96, page 131-135
  • ISSN: 0041-8994

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Lennox, John C.. "On soluble groups in which centralizers are finitely generated." Rendiconti del Seminario Matematico della Università di Padova 96 (1996): 131-135. <http://eudml.org/doc/108404>.

@article{Lennox1996,
author = {Lennox, John C.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {soluble groups; centralizers of finitely generated subgroups; polycyclic groups},
language = {eng},
pages = {131-135},
publisher = {Seminario Matematico of the University of Padua},
title = {On soluble groups in which centralizers are finitely generated},
url = {http://eudml.org/doc/108404},
volume = {96},
year = {1996},
}

TY - JOUR
AU - Lennox, John C.
TI - On soluble groups in which centralizers are finitely generated
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 96
SP - 131
EP - 135
LA - eng
KW - soluble groups; centralizers of finitely generated subgroups; polycyclic groups
UR - http://eudml.org/doc/108404
ER -

References

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  1. [1] J. Groves, Soluble groups with every proper quotient polycyclic, Illinois J. Math., 22 (1978), pp. 90-95. Zbl0366.20017MR474887
  2. [2] P. Hall, Finiteness conditions for soluble groups, Proc. London Math. Soc., (3) 4 (1954), pp. 419-436. Zbl0056.25603MR72873
  3. [3] J.C. Lennox, Centrality in soluble groups, Proceedings «Infinite Groups 1994», de Gruyter, Berlin, 1996. Zbl0866.20017MR1477172
  4. [4] A.H. Rhemtulla, A minimality property of polycyclic groups, J. London Math. Soc., 42 (1967), pp. 456-462. Zbl0166.01804MR218460
  5. [5] D.J.S. Robinson, A property of the lower central series of a group, Math. Z., 107 (1968), pp. 225-231. Zbl0167.02202MR235043
  6. [6] D.J.S. Robinson - J.S. Wilson, Ssoluble groups with many polycyclic quotients, Proc. London Math. Soc., (3) 48 (1984), pp. 193-229. Zbl0505.20023MR729068

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