Open problems from the conference ‎"Engel Conditions in Groups‎" ‎held in Bath‎, ‎UK‎, ‎2019

Document Type : Proceedings of the conference "Engel conditions in groups" - Bath - UK - 2019

Author

University of Bath

Abstract

Here is list of open problems from the conference Engel Type Conditions in Groups in Bath that was held in April 2019.

Keywords

Main Subjects


[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. 
Volume 9, Issue 4 - Serial Number 4
Proceedings of the conference "Engel conditions in groups"- Bath-UK-2019
December 2020
Pages 301-303
  • Receive Date: 05 May 2020
  • Revise Date: 01 August 2020
  • Accept Date: 27 July 2020
  • Published Online: 01 December 2020