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Rational subsets of unitriangular groups.

Authors :
Lohrey, Markus
Source :
International Journal of Algebra & Computation. Feb/Mar2015, Vol. 25 Issue 1/2, p113-121. 9p.
Publication Year :
2015

Abstract

It is shown that there exist d, ℓ ≥ 3 and a sequence C1, ..., Cℓ of cyclic subgroups of the d-dimensional unitriangluar matrix group over ℤ (which is finitely generated nilpotent) such that membership in the product C1 C2 ⋯ Cℓ is undecidable. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02181967
Volume :
25
Issue :
1/2
Database :
Academic Search Index
Journal :
International Journal of Algebra & Computation
Publication Type :
Academic Journal
Accession number :
101735639
Full Text :
https://doi.org/10.1142/S0218196715400068