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Vietnam Journal of Mathematics 33:2 (2005) 189-197

Fibonacci Length of Direct Products of Groups 

H. Doostie and M. Maghasedi

Abstract.  For a non-abelian finite group G = <a1, a2, ,an> the Fibonacci length of G with respect to the ordered generating set A = {a1, a2, , an} is the least integer l such that for the sequence of elements xi = ai, 1i n, xn+I = , I 1, of G, the equations xl+i = ai, 1 i n hold. The question posed in 2003 by P.P. Campbell that "Is there any relationship between the lengths of finite groups G, H and G x H?" In this paper we answer this question when at least one of the groups is a non-abelian 2-generated group.

 

 

 

 

 

 

 

 

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