Diego García Lucas

Department of Mathematics · Universidade de Santiago de Compostela
nombre.apellido1.apellido2@usc.gal

Publications

  1. Diego García Lucas, Leo Margolis and Ángel del Río. Non-isomorphic 2-groups with isomorphic modular group algebras. Journal für die reine und angewandte Mathematik 783 (2022), 269–274.
  2. Diego García Lucas, Ángel del Río and Mima Stanojkovski. On group invariants determined by modular group algebras: even versus odd characteristic. Algebra and Representation Theory 26 (2023), 2683–2707.
  3. Osnel Broche, Diego García Lucas and Ángel del Río. A classification of the finite two-generated cyclic-by-abelian groups of prime power order. International Journal of Algebra and Computation 33 (2023), 641–686.
  4. Diego García Lucas and Ángel del Río. A reduction theorem for the Isomorphism Problem of group algebras. Journal of Pure and Applied Algebra 228 (2024), 107511.
  5. Diego García Lucas. The Modular Isomorphism Problem and Abelian Direct Factors. Mediterranean Journal of Mathematics 21 (2024), 18.
  6. Diego García Lucas and Leo Margolis. On the modular isomorphism problem for groups of nilpotency class two and cyclic centre. Forum Mathematicum (published online in 2024).
  7. Sara C. Debón, Diego García Lucas and Ángel del Río. The Gruenberg-Kegel graph of solvable rational groups. Journal of Algebra 642 (2024), 470–479.
  8. Sofia Brenner and Diego García Lucas. On the modular isomorphism problem for groups with center of index at most p³. Archiv der Mathematik 122 (2024), 463–474.
  9. Diego García Lucas and Ángel del Río. On the Modular Isomorphism Problem for 2-generated groups with cyclic derived subgroup. Journal of Algebra and Its Applications (published online in 2024).
  10. Diego García Lucas, Ángel del Río and Taro Sakurai. On Commutative Tensor Factors of Group Algebras. Algebras and Representation Theory 29 (2026), 153–160.

Preprints

AI Slop

Things obtained mainly (or integrally) with AI. I do not know if I am to be considered as author of any of them, and hence they are not being submitted to journals nor being published in the arXiv, at least in their current form. They are included here in case they are of interest to the community and to avoid redundancies, and maybe also, as they claim solutions to many of the problems I was actually working on, to throw overboard the remainder of my academic carreer.