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Garreta, Albert; Miasnikov, Alexei; Ovchinnikov, Denis WITHDRAWN: The Diophantine problem in finitely generated commutative rings. arXiv:2012.09787 Preprint, arXiv:2012.09787 [math.NT] (2020); retraction notice ibid. MSC: 11D99 11D72 11U05 BibTeX Cite \textit{A. Garreta} et al., ``WITHDRAWN: The Diophantine problem in finitely generated commutative rings'', Preprint, arXiv:2012.09787 [math.NT] (2020); retraction notice ibid. Full Text: arXiv OA License
Gilman, Robert H.; Myasnikov, Alexei; Roman’kov, Vitaliĭ Random equations in nilpotent groups. (English) Zbl 1283.20074 J. Algebra 352, No. 1, 192-214 (2012). Reviewer: Alessio Russo (Napoli) MSC: 20P05 20F70 20F18 20F69 20E05 20F10 20F05 11N45 PDFBibTeX XMLCite \textit{R. H. Gilman} et al., J. Algebra 352, No. 1, 192--214 (2012; Zbl 1283.20074) Full Text: DOI arXiv
Myasnikov, Alexei; Shpilrain, Vladimir; Ushakov, Alexander [Mosina, Natalia] Non-commutative cryptography and complexity of group-theoretic problems. With an appendix by Natalia Mosina. (English) Zbl 1248.94006 Mathematical Surveys and Monographs 177. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5360-3/hbk). xiv, 385 p. (2011). Reviewer: Guillermo Morales-Luna (Mexico) MSC: 94-02 94A60 94A62 03D35 11T71 20F10 68Q25 PDFBibTeX XMLCite \textit{A. Myasnikov} et al., Non-commutative cryptography and complexity of group-theoretic problems. With an appendix by Natalia Mosina. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1248.94006)
Myasnikov, Alexei; Shpilrain, Vladimir; Ushakov, Alexander Group-based cryptography. (English) Zbl 1248.94004 Advanced Courses in Mathematics – CRM Barcelona. Basel: Birkhäuser (ISBN 978-3-7643-8826-3/pbk). xv, 183 p. (2008). Reviewer: Michael Wüstner (Schwalbach am Taunus) MSC: 94-01 94A60 94A62 11T71 20Exx 20Fxx 68Q25 PDFBibTeX XMLCite \textit{A. Myasnikov} et al., Group-based cryptography. Basel: Birkhäuser (2008; Zbl 1248.94004) Full Text: DOI
Myasnikov, Alexei; Shpilrain, Vladimir; Ushakov, Alexander A practical attack on a braid group based cryptographic protocol. (English) Zbl 1145.94448 Shoup, Victor (ed.), Advances in cryptology – CRYPTO 2005. 25th annual international cryptology conference, Santa Barbara, CA, USA, August 14–18, 2005. Proceedings. Berlin: Springer (ISBN 3-540-28114-2/pbk). Lecture Notes in Computer Science 3621, 86-96 (2005). MSC: 94A60 11T71 20F36 PDFBibTeX XMLCite \textit{A. Myasnikov} et al., Lect. Notes Comput. Sci. 3621, 86--96 (2005; Zbl 1145.94448) Full Text: DOI