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FINITE INDEX SUBGROUPS OF FULLY RESIDUALLY FREE GROUPS.
- Source :
-
International Journal of Algebra & Computation . Jun2011, Vol. 21 Issue 4, p651-673. 23p. 1 Diagram. - Publication Year :
- 2011
-
Abstract
- Using graph-theoretic techniques for f.g. subgroups of Fℤ[t] we provide a criterion for a f.g. subgroup of a f.g. fully residually free group to be of finite index. Moreover, we show that this criterion can be checked effectively. As an application we obtain an analogue of Greenberg-Stallings Theorem for f.g. fully residually free groups, and prove that a f.g. nonabelian subgroup of a f.g. fully residually free group is of finite index in its normalizer and commensurator. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02181967
- Volume :
- 21
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Algebra & Computation
- Publication Type :
- Academic Journal
- Accession number :
- 61846765
- Full Text :
- https://doi.org/10.1142/S0218196711006388