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- W2914030246 abstract "The chapter begins with a self-contained exposition of the theory of Nielsen on the free groupwith two generators: bases of F(a, b),Nielsen’s criterion for automorphisms of F(a, b), It also coversNielsen’s theoremon abelianization of these automorphisms andWeinbaum’s theorem on representatives of the group of automorphisms modulo the subgroup of inner automorphism. Perrine’s theorem on bases of the derived group of SL2(Z) and Markoff triples is deduced, and a very simple and efficient algorithm for detecting bases of F(a, b) is given (Séébold, Kassel, the author). Positive automorphisms of F(a, b) are characterized (Wen andWen) and shown to coincide with Sturmian morphisms (Mignosi, Séébold)." @default.
- W2914030246 created "2019-02-21" @default.
- W2914030246 creator A5038352414 @default.
- W2914030246 date "2018-11-15" @default.
- W2914030246 modified "2023-09-26" @default.
- W2914030246 title "Bases and Automorphisms of the Free Group on Two Generators" @default.
- W2914030246 doi "https://doi.org/10.1093/oso/9780198827542.003.0017" @default.
- W2914030246 hasPublicationYear "2018" @default.
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