Abstract
Let \(FL_{\nu }(K)\) be the finitary linear group of degree \(\nu \) over an associative ring K with unity. We prove that the torsion subgroups of \(FL_{\nu }(K)\) are locally finite for certain classes of rings K. A description of some f.g. solvable subgroups of \(FL_{\nu }(K)\) are given.
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Communicated by F. de Giovanni.
Dedicated to the 70-th birthday of Professor Yaroslav Sysak.
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The research was supported by the UAEU UPAR Grant G00002160.
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Bovdi, V., Dashkova, O.Y. & Salim, M.A. Subgroups of a finitary linear group. Ricerche mat 68, 803–809 (2019). https://doi.org/10.1007/s11587-019-00438-y
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DOI: https://doi.org/10.1007/s11587-019-00438-y