Recent Submissions

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  Inducing braces and Hopf Galois structures 

  Crespo, Teresa; Gil Muñoz, Daniel; Río Doval, Ana; Vela del Olmo, Maria Montserrat (2023-09-01)
  Article
  Open Access

  Let p be a prime number and let n be an integer not divisible by p and such that every group of order np has a normal subgroup of order p. (This holds in particular for .) Under these hypotheses, we obtain a one-to-one ...
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  Square-free OM computation of global integral bases 

  Guàrdia Rubies, Jordi; Nart Vinyals, Enric (2022-09-27)
  Article
  Open Access

  For a prime p, the OM algorithm finds the p-adic factorization of an irreducible polynomial f¿Z[x]¿¿Z[¿] in polynomial time. This may be applied to construct p-integral bases in the number field K defined by f. In this ...
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  Left braces of size 8 p 

  Crespo Vicente, Teresa; Gil Muñoz, Daniel; Río Doval, Ana; Vela del Olmo, Maria Montserrat (2023)
  Article
  Open Access

  We describe all left braces aof size 8 p for an odd p diferent from 3 and 7.
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  Valuative trees over valued fields 

  Alberich Carramiñana, Maria; Guàrdia Rubies, Jordi; Nart Vinyals, Enric; Roé Vallvé, Joaquim (Elsevier, 2023-01-15)
  Article
  Open Access

  For an arbitrary valued field (K, v) and a given extension v(K*) ¿¿ ¿ of ordered groups, we analyze the structure of the tree formed by all ¿-valued extensions of v to the polynomial ring K[x]. As an application, we find ...