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Terne di quadrati consecutivi in un campo di Galois

Umberto Bartocci, Emanuela Ughi (1981)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Explicit formulae for the number of triplets of consecutive squares in a Galois field F q are given.

The additive group actions on -homology planes

Kayo Masuda, Masayoshi Miyanishi (2003)

Annales de l’institut Fourier

In this article, we prove that a -homology plane X with two algebraically independent G a -actions is isomorphic to either the affine plane or a quotient of an affine hypersurface x y = z m - 1 in the affine 3 -space via a free / m -action, where m is the order of a finite group H 1 ( X ; ) .

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