Geodesic
The Generalized Wielandt Subgroup of a Group
Canadian journal of mathematics, Tome 47 (1995) no. 2, pp. 246-261

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The intersection IW(G) of the normalizers of the infinite subnormal subgroups of a group G is a characteristic subgroup containing the Wielandt subgroup W(G) which we call the generalized Wielandt subgroup. In this paper we show that if G is infinite, then the structure of IW(G)/ W(G) is quite restricted, being controlled by a certain characteristic subgroup S(G). If S(G) is finite, then so is IW(G)/ W(G), whereas if S(G) is an infinite Prüfer-by-finite group, then IW(G)/W(G) is metabelian. In all other cases, IW(G) = W(G).
DOI : 10.4153/CJM-1995-012-7
Mots-clés : 20E15, 20F22 
Beidleman, James C.; Dixon, Martyn R.; Robinson, Derek J. S. The Generalized Wielandt Subgroup of a Group. Canadian journal of mathematics, Tome 47 (1995) no. 2, pp. 246-261. doi: 10.4153/CJM-1995-012-7
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