Abstract
The full automorphism group of a certain elementary abelian p-cover of the Hermitian curve in characteristic $$p>0$$ is determined. It is remarkable that the order of Sylow p-groups of the automorphism group is close to Nakajima’s bound in terms of the p-rank. Weierstrass points, Galois points, Frobenius nonclassicality, and arc property are also investigated.
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