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- W4231729552 abstract "In a previous paper, the author classified the pairs (G,α) where G is a finite group and α an automorphism of G having a cycle of length greater than 12|G|. In this paper, we extend this classification to the case where α has a cycle of length equal to 12|G| and show some applications of the classification: We discuss an algorithm for listing the pairs (G,α) where the largest cycle length of α equals ρ|G| on input any rational ρ∈(12,1], and we prove that the set of cycle length fractions of finite group automorphisms is not dense in [0,1]." @default.
- W4231729552 created "2022-05-12" @default.
- W4231729552 creator A5046306266 @default.
- W4231729552 date "2016-10-07" @default.
- W4231729552 modified "2023-09-25" @default.
- W4231729552 title "Classification of finite group automorphisms with a large cycle II" @default.
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- W4231729552 doi "https://doi.org/10.1080/00927872.2016.1226883" @default.
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