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- W4300977837 abstract "This paper is concerned with so-called index $d$ generalized cyclotomic mappings of a finite field $mathbb{F}_q$, which are functions $mathbb{F}_qrightarrowmathbb{F}_q$ that agree with a suitable monomial function $xmapsto ax^r$ on each coset of the index $d$ subgroup of $mathbb{F}_q^{ast}$. We discuss two important rewriting procedures in the context of generalized cyclotomic mappings and present applications thereof that concern index $d$ generalized cyclotomic permutations of $mathbb{F}_q$ and pertain to cycle structures, the classification of $(q-1)$-cycles and involutions, as well as inversion." @default.
- W4300977837 created "2022-10-04" @default.
- W4300977837 creator A5030863883 @default.
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- W4300977837 date "2021-02-28" @default.
- W4300977837 modified "2023-09-27" @default.
- W4300977837 title "Generalized cyclotomic mappings: Switching between polynomial, cyclotomic, and wreath product form" @default.
- W4300977837 doi "https://doi.org/10.48550/arxiv.2103.00664" @default.
- W4300977837 hasPublicationYear "2021" @default.
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