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Fibonacci lengths involving the Wall number k(n). (English) Zbl 1083.20031
Summary: Two infinite classes of special finite groups are considered. (The group G is special, if G ' and Z(G) coincide.) Using certain sequences of numbers we give explicit formulas for the Fibonacci lengths of these classes which involve the well-known Wall numbers k(n).
MSC:
20F05Generators, relations, and presentations of groups
11B39Fibonacci and Lucas numbers, etc.
20D60Arithmetic and combinatorial problems on finite groups
References:
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