20.500.12556/RUP-21972 The invariant of PGU(3,q) in the Hermitian function field Invarianta grupe PGU(3, q) v hermitskem funkcijskem obsegu Let F = F|K be a function field over an algebraically closed constant field K of positive characteristic p. For a K-automorphism group G of F, the invariant of G is the fixed field FG of G. If F has transendency degree 1 (i.e. F is the function field of an irreducible curve) and FG is rational, then each generator of FG uniquely determines FG and it makes sense to call each of them the invariant of G. In this paper, F is the Hermitian function field K(Hq)=K(x,y) with yq + y − xq + 1 = 0 and q = pr. We determine the invariant of Aut(K(Hq)) \cong PGU(3,q), and discuss some related questions on Galois subcovers of maximal curves over finite fields. function field finite field automorphism group invariant funkcijski obseg končni obseg grupa avtomorfizmov invarianta true false true Založba Univerze na Primorskem Angleški jezik Slovenski jezik Članek v reviji 2025-10-21 10:18:58 2025-10-21 10:18:58 2025-11-11 03:03:44 0000-00-00 00:00:00 2025 0 0 8 str. no. 1, [article no.] P1.09 Vol. 8 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-02-26 51 2590-9770 https://doi.org/10.26493/2590-9770.1746.53c ADAM_Gatti,Ghiandoni,Korchmaros_2025.pdf ADAM_Gatti,Ghiandoni,Korchmaros_2025.pdf 1 246AE0432D213D7E16F8784633368DAB 8c8a9a99acd6433c38e64230d31df38ea11d59ea037d3bdcaf2523644455a2bf 7f0080a0-ae58-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=31905 Založba Univerze na Primorskem 0 0 0