Abstract
In this paper, we deal with the problem of classifying the genera of quotient curves Hq/G, where Hq is the Fq2 -maximal Hermitian curve and G is an automorphism group of Hq. The groups G considered in the literature fix either a point or a triangle in the plane PG(2, q6). In this paper, we give a complete list of genera of quotients Hq /G, when G ≤ Aut(Hq) ∼= PGU(3,q) does not leave invariant any point or triangle in the plane. Also, the classification of subgroups G of PGU(3,q) satisfying this property is given up to isomorphism.
Original language | English |
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Journal | Journal of Algebraic Combinatorics |
Number of pages | 30 |
ISSN | 0925-9899 |
DOIs | |
Publication status | Published - 2019 |
Keywords
- Hermitian curve
- Unitary groups
- Quotient curves
- Maximal curves