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The Markoff Theory and the Commutator Subgroup SL(2, Z)'

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Abstract

The commutator subgroup SL(2, Z)' plays a particular role in the Markoff theory since every Markoff number is 1/3 of the trace of same elements of SL(2, Z)'. The latter is a free group with two generators. We give an exhaustive description of the possible pairs of generators of SL(2, Z)', including important new results.

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  1. Route du Péleret 42, CH-1691, Villarimboud, Switzerland

    Paul Schmutz Schaller

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  1. Paul Schmutz Schaller
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Correspondence to Paul Schmutz Schaller.

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Paul Schmutz Schaller The Markoff Theory and the Commutator Subgroup SL(2, Z)'. Russ Math. 66, 91–101 (2022). https://doi.org/10.3103/S1066369X22120106

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  • DOI: https://doi.org/10.3103/S1066369X22120106

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