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The periods of the Pell \(p\)-orbits of polyhedral and centro-polyhedral groups. (English) Zbl 1381.11015

Summary: In this paper, we define the Pell \(p\)-orbit of a finitely generated group and then we obtain the lengths of the periods and the basic periods of the Pell \(p\)-orbits of the finite polyhedral groups and centro-polyhedral groups.

MSC:

11B50 Sequences (mod \(m\))
20F05 Generators, relations, and presentations of groups
20D60 Arithmetic and combinatorial problems involving abstract finite groups
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