The divisible radical of a group
Open Mathematics (2009)
- Volume: 7, Issue: 3, page 387-394
- ISSN: 2391-5455
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topB.A.F. Wehrfritz. "The divisible radical of a group." Open Mathematics 7.3 (2009): 387-394. <http://eudml.org/doc/269492>.
@article{B2009,
abstract = {We consider the existence or otherwise of canonical divisible normal subgroups of groups in general. We present more counterexamples than positive results. These counterexamples constitute the substantive part of this paper.},
author = {B.A.F. Wehrfritz},
journal = {Open Mathematics},
keywords = {Divisible normal subgroup; Locally nilpotent group; Metabelian group; divisible normal subgroups; locally nilpotent groups; metabelian groups; divisible radical},
language = {eng},
number = {3},
pages = {387-394},
title = {The divisible radical of a group},
url = {http://eudml.org/doc/269492},
volume = {7},
year = {2009},
}
TY - JOUR
AU - B.A.F. Wehrfritz
TI - The divisible radical of a group
JO - Open Mathematics
PY - 2009
VL - 7
IS - 3
SP - 387
EP - 394
AB - We consider the existence or otherwise of canonical divisible normal subgroups of groups in general. We present more counterexamples than positive results. These counterexamples constitute the substantive part of this paper.
LA - eng
KW - Divisible normal subgroup; Locally nilpotent group; Metabelian group; divisible normal subgroups; locally nilpotent groups; metabelian groups; divisible radical
UR - http://eudml.org/doc/269492
ER -
References
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- [2] Hall P., Nilpotent Groups, Queen Mary College Math. Notes, London, 1969
- [3] Jacobson N., The Theory of Fields, Van Nostrand, New York, 1964 Zbl0124.27002
- [4] Robinson D.J.S., Finiteness Conditions and Generalized Soluble Groups, Springer-Verlag, Berlin, 1972 Zbl0243.20032
- [5] Wehrfritz B.A.F., On hypercentral groups, Cent. Eur. J. Math., 2007, 5, 596–606 http://dx.doi.org/10.2478/s11533-007-0015-3 Zbl1133.20021
- [6] Wehrfritz B.A.F., The abelianization of hypercyclic groups, Cent. Eur. J. Math., 2007, 5, 686–695 http://dx.doi.org/10.2478/s11533-007-0030-4 Zbl1147.20029
- [7] Wehrfritz B.A.F., On hyper (abelian of finite rank) groups, Algebra Colloq., 2008, 15, 361–370 Zbl1153.20032
- [8] Wehrfritz B.A.F., On hyper and hypo abelian-of-finite-rank groups, Asian-Europ. J. Math., 2008, 1, 431–438 http://dx.doi.org/10.1142/S1793557108000369 Zbl1173.20026
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