
BUI Xuan Hai, PhD
Professor,
Faculty of Mathematics and Computer Science
University of Science, VNUHCM
Ho Chi Minh City, Vietnam
Tel: (+84) 903380967
Email:bxhai@hcmus.edu.vn
Scientific Education
1976: BSc. Belorus State University.
1988: Ph.D, St. Petersburg University, Russia.
Thesis: Arrangement of subgroups in the special linear group over a division ring
Supervisor: Professor Zenon Ivanovich Borevich
Academic & Research Experience
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- Modern Algebra
- Fields and Galois Theory
- Ring Theory
- Linear groups
Research Skills/Interests: Division rings; Linear groups over rings; groups and their generalizations.
Publication List (selected from 2013-now)
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T. T. Deo, M. H. Bien, and B. X. Hai, On division subrings normalized by almost subnormal subgroups in division rings, Period. Math. Hungar. 80 (2019) 15-27.
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B. X. Hai, V. M. Trang, and M. H. Bien, A note On subgroups in a division ring that are left algebraic over a division subring, Archiv Math. 113(2019) 141-148.
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B. X. Hai, M. H. Bien, and H. V. Khanh, Generalized power central group identities in almost subnormal subgroups of Algebra i Analiz 34:1 (2019) 225-239 (Russian), English transl. in St. Petersburg Math. J. (2019) (accepted).
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B. X. Hai and H. V. Khanh, On free subgroups in maximal subgroups of skew linear groups, Internat. J. Algebra and Comput. 29:3 (2019) 603-614, .DOI: 10.1142/S0218196719500164
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T. T. Deo, M. H. Bien, B. X. Hai, On weakly locally finite division rings, Acta Math. Vietnam., 44 (2019) 553-569, https://doi.org/10.1007/s40306-018-0292-x
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N. K Ngoc, M. H. Bien, B. X. Hai, Free subgroups in almost subnormal subgroups of general skew linear groups, Algebra i Analiz, 28:5 (2016), 220-235, English translation in St. Petersburg Math. J., 28:5 (2017), 707-717.
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B. X. Hai, N. A. Tu, On multiplicative subgroups in division rings, J. Algebra Appl., 15:3 (2016) 1650050 (16 pages).
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B. X. Hai, N. K. Ngoc, A note on the existence of non-cyclic free subgroups, Archiv Math., 101:5 (2013), 437-443.
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T. T. Deo, B. X. Hai, Corrigendum to the proofs of some theorems in the article “On the radicality of maximal subgroups in GL(n, D)” [J. Algebra 365 (2012), 42-49], J. Algebra 410 (2014), 541-544.
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B. X. Hai, N. V. Thin, On subnormal subgroups in general skew linear groups, Vestnik. St. Peterburg Univ., Math., 2013, 46: 1, 43-48.
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B. X. Hai, N. V. Thin, On the proof of some theorem on locally nilpotent subgroups in division rings, Comm. Algebra, 41:1 (2013), 401-403.