Publications (8) ALBERT GARRETA FONTELLES publications

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2023

  1. Simple groups with infinite verbal width and the same positive theory as free groups

    Israel Journal of Mathematics, Vol. 254, Núm. 1, pp. 39-56

2021

  1. Metabelian groups: Full-rank presentations, randomness and Diophantine problems

    Journal of Group Theory, Vol. 24, Núm. 3, pp. 453-466

  2. On equations and first-order theory of one-relator monoids

    Information and Computation, Vol. 281

  3. On the Positive Theory of Groups Acting on Trees

    International Mathematics Research Notices, Vol. 2021, Núm. 3, pp. 1837-1918

2020

  1. Diophantine problems in solvable groups

    Bulletin of Mathematical Sciences, Vol. 10, Núm. 1

  2. Full rank presentations and nilpotent groups: Structure, Diophantine problem, and genericity

    Journal of Algebra, Vol. 556, pp. 1-34

2019

  1. Engel elements in some fractal groups

    Monatshefte fur Mathematik, Vol. 189, Núm. 4, pp. 651-660

2017

  1. Random nilpotent groups, polycyclic presentations, and Diophantine problems

    Groups, Complexity, Cryptology, Vol. 9, Núm. 2, pp. 99-115