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Möbius-like maps on irreducible polynomials and rational transformations

Abstract In the past few years, an action of the group PGL 2 ( F q ) on the set of monic irreducible polynomials over F q has been introduced… Click to show full abstract

Abstract In the past few years, an action of the group PGL 2 ( F q ) on the set of monic irreducible polynomials over F q has been introduced and questions on the characterization and number of fixed points were discussed. In this paper we show that, in general, such fixed points arise from rational transformations, extending a work of Mattarei and Pizzato (2017).

Keywords: bius like; polynomials rational; maps irreducible; like maps; rational transformations; irreducible polynomials

Journal Title: Journal of Pure and Applied Algebra
Year Published: 2020

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