Subgroups of a finitary linear group

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

doi:10.1007/s11587-019-00438-y

Subgroups of a finitary linear group

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

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	803-809
Number of pages	7
Journal	Ricerche di Matematica
Volume	68
Issue number	2
DOIs	https://doi.org/10.1007/s11587-019-00438-y
Publication status	Published - Dec 1 2019

Keywords

Commutative Noetherian ring
Finitary linear group
Integral domain

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1007/s11587-019-00438-y

Cite this

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title = "Subgroups of a finitary linear group",

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.",

keywords = "Commutative Noetherian ring, Finitary linear group, Integral domain",

author = "V. Bovdi and Dashkova, \{O. Yu\} and Salim, \{M. A.\}",

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year = "2019",

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doi = "10.1007/s11587-019-00438-y",

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T1 - Subgroups of a finitary linear group

AU - Bovdi, V.

AU - Dashkova, O. Yu

AU - Salim, M. A.

PY - 2019/12/1

Y1 - 2019/12/1

N2 - 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.

AB - 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.

KW - Commutative Noetherian ring

KW - Finitary linear group

KW - Integral domain

UR - https://www.scopus.com/pages/publications/85075067937

UR - https://www.scopus.com/pages/publications/85075067937#tab=citedBy

U2 - 10.1007/s11587-019-00438-y

DO - 10.1007/s11587-019-00438-y

M3 - Article

AN - SCOPUS:85075067937

SN - 0035-5038

VL - 68

SP - 803

EP - 809

JO - Ricerche di Matematica

JF - Ricerche di Matematica

IS - 2

ER -

Subgroups of a finitary linear group

Abstract

Keywords

ASJC Scopus subject areas

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