THE RESIDUAL NILPOTENCY OF VERBAL WREATH-PRODUCTS

Authors
LICHTMAN AI
Citation
Ai. Lichtman, THE RESIDUAL NILPOTENCY OF VERBAL WREATH-PRODUCTS, Israel Journal of Mathematics, 103, 1998, pp. 319-347
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
Journal title
Israel Journal of Mathematics → ACNP
ISSN journal
00212172
Volume
103
Year of publication
1998
Pages
319 - 347
Database
ISI
SICI code
0021-2172(1998)103:<319:TRNOVW>2.0.ZU;2-F
Abstract
We obtain necessary and sufficient conditions for residual nilpotence of verbal wreath products. We study also residual nilpotence of the gr oups of the form F/V(N), where F is a free group, N triangle F, and V( N) is a verbal subgroup of N.