Subgroups of a finitary linear group

V. Bovdi, O. Yu Dashkova, M. A. Salim

Research output: Contribution to journalArticlepeer-review

Abstract

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

Original languageEnglish
Pages (from-to)803-809
Number of pages7
JournalRicerche di Matematica
Volume68
Issue number2
DOIs
Publication statusPublished - Dec 1 2019

Keywords

  • Commutative Noetherian ring
  • Finitary linear group
  • Integral domain

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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