Authors
Citation
A. Giambruno et Sk. Sehgal, GENERATORS OF LARGE SUBGROUPS OF UNITS OF INTEGRAL GROUP-RINGS OF NILPOTENT GROUPS, Journal of algebra, 174(1), 1995, pp. 150-156
Citations number
8
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00218693
Volume
174
Issue
1
Year of publication
1995
Pages
150 - 156
Database
ISI
SICI code
0021-8693(1995)174:1<150:GOLSOU>2.0.ZU;2-T
Abstract
Let G be a finite nilpotent group so that all simple components (D)(nx
n), n greater than or equal to 2 of QG satisfy the congruence subgroup
theorem. Suppose that for all odd primes p dividing \G\ the Hamiltoni
an quaternions H split over the pth cyclotomic field Q(zeta(p)). Then
new units B-3 are introduced so that [B-1, B-2, B-2', B-3] is of finit
e index in U(ZG). (C) 1995 Academic Press, Inc.