Free products of units in algebras. II. Crossed products

Authors
Goncalves, JZ Mandel, A Shirvani, M
Citation
Jz. Goncalves et al., Free products of units in algebras. II. Crossed products, J ALGEBRA, 233(2), 2000, pp. 567-593
Citations number
20
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
233
Issue
2
Year of publication
2000
Pages
567 - 593
Database
ISI
SICI code
0021-8693(20001115)233:2<567:FPOUIA>2.0.ZU;2-X
Abstract
We investigate the problem of explicitly constructing non-cyclic free group s in finite-dimensional crossed products using valuation criteria. The resu lts are applied to produce explicit free groups in division algebras genera ted by nilpotent groups, and symmetric free groups in group rings of finite groups in arbitrary characteristic. (C) 2000 Academic Press.