Work

Affine Stabilizers of Two O-Monomial Value Sets

Year: 2026
Type: preprint
Abstract: Let q=2^m with odd m at least 5. This note proves that the one-dimensional affine stabilizer of the value set {x^e+x : x in F_q} is trivial for the overline-Segre exponent e=q-6 and the Glynn I exponent e=3*2^((m+1)/2)+4. Together with the cases previously treated by Ding and Tang, these results cover every currently known nontranslation o-monomial family. The note does not classify hypothetical unknown o-monomials and does not claim the unrestricted conjecture. Status: Public Beta; internally verified candidate proof; external mathematical review pending.
Author: Carptopus
Language: English
Open Access status: green
OpenAlex ID: W7208779804
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