Representations of a free group of rank two by time-varying Mealy automata

2005 ◽  
Vol 25 (1) ◽  
pp. 119 ◽  
Author(s):  
Adam Woryna
2006 ◽  
Vol 16 (02) ◽  
pp. 397-415 ◽  
Author(s):  
ADAM WORYNA

We proof that an infinitely iterated wreath product of finite cyclic groups of pairwise coprime orders is generated as a topological group by two elements a and b. The group G = 〈a, b〉 may be represented by a 2-state time-varying Mealy automaton. We derive some properties of G.


2016 ◽  
Author(s):  
Felix Schindler ◽  
Bertram Steininger ◽  
Tim Kroencke

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