Garreta, Albert; Legarreta, Leire; Miasnikov, Alexei; Ovchinnikov, Denis Metabelian groups: full-rank presentations, randomness and Diophantine problems. (English) Zbl 1482.20024 J. Group Theory 24, No. 3, 453-466 (2021). Reviewer: Enrico Jabara (Venezia) MSC: 20F70 20F05 20F69 20P05 PDFBibTeX XMLCite \textit{A. Garreta} et al., J. Group Theory 24, No. 3, 453--466 (2021; Zbl 1482.20024) Full Text: DOI arXiv
Garreta, Albert; Miasnikov, Alexei; Ovchinnikov, Denis Diophantine problems in solvable groups. (English) Zbl 1511.20118 Bull. Math. Sci. 10, No. 1, Article ID 2050005, 27 p. (2020). MSC: 20F10 20F70 03B25 11U05 20F18 20F16 PDFBibTeX XMLCite \textit{A. Garreta} et al., Bull. Math. Sci. 10, No. 1, Article ID 2050005, 27 p. (2020; Zbl 1511.20118) Full Text: DOI arXiv
Garreta, Albert; Miasnikov, Alexei; Ovchinnikov, Denis Full rank presentations and nilpotent groups: structure, Diophantine problem, and genericity. (English) Zbl 1471.20023 J. Algebra 556, 1-34 (2020). Reviewer: V. A. Roman’kov (Omsk) MSC: 20F05 20F18 20F10 03C60 PDFBibTeX XMLCite \textit{A. Garreta} et al., J. Algebra 556, 1--34 (2020; Zbl 1471.20023) Full Text: DOI arXiv