Title
The word and order problems for self-similar and automata groups
Abstract
We prove that the word problem is undecidable in functionally recursive groups, and that the order problem is undecidable in automata groups, even under the assumption that they are contracting.
Year
DOI
Venue
2017
10.4171/GGD/560
GROUPS GEOMETRY AND DYNAMICS
Keywords
Field
DocType
Self-similar groups,automata groups,word problem,order problem,contracting groups,Mealy machines,Minsky machines
Automata theory,Algebra,Nested word,Word problem (mathematics education),Automaton,Mathematics,Recursion,Undecidable problem
Journal
Volume
Issue
ISSN
14
2
1661-7207
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Laurent Bartholdi1278.74
Ivan Mitrofanov200.34