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Rational subsets and submonoids of wreath products.

Authors :
Lohrey, Markus
Steinberg, Benjamin
Zetzsche, Georg
Source :
Information & Computation. Aug2015, Vol. 243, p191-204. 14p.
Publication Year :
2015

Abstract

It is shown that membership in rational subsets of wreath products H ≀ V with H a finite group and V a virtually free group is decidable. On the other hand, it is shown that there exists a fixed finitely generated submonoid in the wreath product Z ≀ Z with an undecidable membership problem. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08905401
Volume :
243
Database :
Academic Search Index
Journal :
Information & Computation
Publication Type :
Academic Journal
Accession number :
103055813
Full Text :
https://doi.org/10.1016/j.ic.2014.12.014