Fibonacci group
From Groupprops
Definition
The Fibonacci group is defined as the group with the following presentation:
where the indexes are reduced modulo .
Particular cases
The only cases where is finite are
:
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Common name for ![]() |
Order of group |
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Trivial group | ![]() |
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Trivial group | ![]() |
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Quaternion group | ![]() |
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Cyclic group:Z5 | ![]() |
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Cyclic group:Z11 | ![]() |
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Cyclic group:Z29 | ![]() |