Subgroups of a finitary linear group

2020/04/26 by V. A. Bovdi, Bovdi, V. A., O. Yu. Dashkova +3
Mathematics · #20H25 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20H25

paper · pdf · doi:10.48550/arxiv.2004.12354

7 pages

arxiv created 2020/04/26 · arxiv updated 2020/04/28

Abstract

Let FL_s(K) be the finitary linear group of degree s over an associative ring K with unity. We prove that the torsion subgroups of FL_s(K) are locally finite for certain classes of rings K. A description of some f.g. solvable subgroups of FL_s(K) are given.

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