Publications (8) ALBERT GARRETA FONTELLES publications

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