Growth series of some wreath products

Walter Parry
1992 Transactions of the American Mathematical Society  
The growth series of certain finitely generated groups which are wreath products are investigated. These growth series are intimately related to the traveling salesman problem on certain graphs. A large class of these growth series is shown to consist of irrational algebraic functions.
doi:10.1090/s0002-9947-1992-1062874-3 fatcat:egkfneizfvhfzglpdojcx3i57i