CONSTRUCTING FREE SUBGROUPS OF INTEGRAL GROUP-RING UNITS

Authors
MARCINIAK ZS SEHGAL SK
Citation
Zs. Marciniak et Sk. Sehgal, CONSTRUCTING FREE SUBGROUPS OF INTEGRAL GROUP-RING UNITS, Proceedings of the American Mathematical Society, 125(4), 1997, pp. 1005-1009
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
4
Year of publication
1997
Pages
1005 - 1009
Database
ISI
SICI code
0002-9939(1997)125:4<1005:CFSOIG>2.0.ZU;2-D
Abstract
Let G be an arbitrary group. It is proved that if ZG contains a bicycl ic unit u not equal 1, then [u, u] is a nonabelian free subgroup of i nvertible elements.