Search techniques and epimorphisms between certain groups and Fibonacci groups (TITLE CHANGED TO ALMOST YOUR SUGGESTION BUT INCLUDES ‘SEARCH TECHNIQUES’)
نویسنده
چکیده
We examine the Fibonacci lengths of all generating pairs for certain centro-polyhedral groups. The problem requires a variety of approaches both exhaustive and random search. 1991 Mathematics Subject Classification: 20F05.
منابع مشابه
Search techniques, Fibonacci lengths and centro-polyhedral groups
For a finitely generated group G = 〈A〉 where A = {a1, a2, . . . , an} the sequence xi = ai+1, 0 ≤ i ≤ n − 1, xi+n = ∏n j=1 xi+j−1, i ≥ 0, is called the Fibonacci orbit of G with respect to the generating set A, denoted FA(G). If FA(G) is periodic, we call the length of the period of the sequence the Fibonacci length of G with respect to A, written LENA(G). We examine the Fibonacci lengths of al...
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