We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
FAITHFULNESS OF CERTAIN MODULES AND RESIDUAL NILPOTENCE OF GROUPS.
- Authors
Mikhailov, Roman; Passi, Inder Bir S.
- Abstract
Let F be a non-cyclic free group and R, S its normal subgroups. We study the abelian group $\frac{R\cap S}{[R,\,S]}$, viewed as a module over F/RS, via conjugation in F, and residual nilpotence of the group F/[R, S]. An application to the asphericity of finite presentations is given.
- Subjects
ABELIAN groups; ABELIAN equations; MODULES (Algebra); MATHEMATICS; PRODUCTS of subgroups
- Publication
International Journal of Algebra & Computation, 2006, Vol 16, Issue 3, p525
- ISSN
0218-1967
- Publication type
Article
- DOI
10.1142/S0218196706003062