A. A. Arutyunov, A. V. Naianzin, “Nontrivial outer derivations in bimodules over group rings”, Eurasian Math. J., 2022, Volume 13, Number 4,Pages <nobr>8

Nontrivial outer derivations in bimodules over group rings

A. A. Arutyunov^ab, A. V. Naianzin^a

^a Department of Higher Mathematics, Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region, Russian Federation
^b Laboratory 06, V.A. Trapeznikov Institute of Control Science, Russian Academy of Sciences, 65 Profsoyuznaya street, Moscow 117997, Russian Federation

Abstract: Paper is devoted to the description of outer derivations for bimodules over group rings. Examples of corresponding bimodules with nontrivial outer derivations are constructed and their properties are investigated, in particular, their dependence on generating sets. Various types of groups by type of growth are investigated: polynomial and exponential.

Keywords and phrases: group theory, derivations, derivation problem, outer derivations, bimodule.

MSC: 16D20, 13N15, 47B47

Received: 12.09.2022

Language: English

DOI: 10.32523/2077-9879-2022-13-4-08-17