Open problems from the conference ‎

Traustason, Edited By Gunnar

doi:10.22108/ijgt.2020.122900.1621

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	Open problems from the conference ‎"Engel Conditions in Groups‎" ‎held in Bath‎, ‎UK‎, ‎2019
International Journal of Group Theory
دوره 9، شماره 4، اسفند 2020، صفحه 301-303 اصل مقاله (165.71 K)
نوع مقاله: Proceedings of the conference "Engel conditions in groups" - Bath - UK - 2019
شناسه دیجیتال (DOI): 10.22108/ijgt.2020.122900.1621
نویسنده
Edited by Gunnar Traustason^*
University of Bath
چکیده
Here is list of open problems from the conference Engel Type Conditions in Groups in Bath that was held in April 2019.
کلیدواژه‌ها
Engel؛ commutator؛ p-group

مراجع
[1] L. Bartholdi, Algorithmic decidability of Engel’s property for automaton groups, Computer Science–Theory and Applications, Springer, (2016) 29–40. [2] L. Bartholdi, Decidability problems in automaton semigroups, arXiv:1705.04598 [math.GR]. [3] W. Burnside, On an unsettled question in the theory of discontinous groups, Quart. J. Pure Appl. Math., 33 (1902) 230–238. [4] E. S. Golod, Some problems of Burnside type, (Russian) 1968, Proc. Internat. Congr. Math., (Moscow) Izdat. “Mir”, (1966) 284–289. [5] R.I. Grigorchuk, On Burnside’s problem on periodic groups, Funktsional. Anal. i Prilozhen., 14 (1980) 53–54. [6] R. I. Grigorchuk, Just infinite branch groups, Progr. Math., 184, Birkh¨auser Boston, Boston, MA, (2000) 121–179. [7] N. Gupta and S. Sidki, On the Burnside problem for periodic groups, Math. Z., 182 (1983) 385–388. [8] P. Longobardi, On locally graded groups with an Engel condition on infinite subsets, Arch. Math. (Basel), 76 (2001), no. 2, 88-90. [9] C. Monetta and A. Tortora, A nilpotency criterion for some verbal subgroups, Bull. Aust. Math. Soc., 100 (2019) 281–289. [10] B. H. Neumann, A problem of Paul Erd˝os on groups, J. Austral. Math. Soc. Ser. A, 21 (1976), no. 4, 467-472. [11] M. Soleimani Malekan, A. Abdollahi and M. Ebrahimi, Compact groups with many elements of bounded order, to appear in J. Group Theory, https://doi.org/10.1515/jgth-2020-0045. [12] L. S. Spiezia, A characterization of third Engel groups, Arch. Math. (Basel), 64 (1995), no. 5, 369-373. [13] L. S. Spiezia, A property of the variety of 2-Engel groups, Rend. Sem. Mat. Univ. Padova, 91 (1994), 225-228.
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Open problems from the conference ‎"Engel Conditions in Groups‎" ‎held in Bath‎, ‎UK‎, ‎2019