Authors
Citation
C. Franchi, m-Wielandt series in infinite groups, J AUS MAT A, 70, 2001, pp. 76-87
Citations number
19
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN journal
02636115
→ ACNP
Volume
70
Year of publication
2001
Part
1
Pages
76 - 87
Database
ISI
SICI code
0263-6115(200102)70:<76:MSIIG>2.0.ZU;2-J
Abstract
In a group G, u(m)(G) denotes the subgroup of the elements which normalize
every subnormal subgroup of G with defect at most m. The m-Wielandt series
of G is then defined in a natural way. G is said to have finite m-Wielandt
length if it coincides with a term of its m-Wielandt series. We investigate
the structure of infinite groups with finite m-Wielandt length.