The divisible radical of a group

• Autorzy: B.A.F. Wehrfritz
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Divisible normal subgroup; Locally nilpotent group; Metabelian group

Kategorie tematyczne

• 20E34: General structure theorems
• 20F19: Generalizations of solvable and nilpotent groups

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 3
• Strony: 387-394

Daty

wydano

2009-09-01

online

2009-08-12

Twórcy

autor

B.A.F. Wehrfritz

• Queen Mary, University of London

Bibliografia

• [1] Fuchs L., Infinite Abelian Groups Vol. 1, Academic Press, New York, 1970
• [2] Hall P., Nilpotent Groups, Queen Mary College Math. Notes, London, 1969
• [3] Jacobson N., The Theory of Fields, Van Nostrand, New York, 1964
• [4] Robinson D.J.S., Finiteness Conditions and Generalized Soluble Groups, Springer-Verlag, Berlin, 1972
• [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
• [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
• [7] Wehrfritz B.A.F., On hyper (abelian of finite rank) groups, Algebra Colloq., 2008, 15, 361–370
• [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

Identyfikatory

DOI

10.2478/s11533-009-0022-7