Conjugately dense subgroups of locally finite Chevalley groups of Lie rank 1

Division for Mathematics and Computer Sciences

Research output: Contribution to journal › Article

Abstract

Of interest are the subgroups of various groups which have nonempty intersection with each class of conjugate elements of the group under study. We call these subgroups conjugately dense and study Neumann's problem of describing them in the Chevalley groups over a field. The main theorem lists all conjugately dense subgroups of the Chevalley groups of Lie rank 1 over a locally finite field.

Original language	English
Pages (from-to)	581-586
Number of pages	6
Journal	Siberian Mathematical Journal
Volume	44
Issue number	4
DOIs	https://doi.org/10.1023/A:1024772104335
Publication status	Published - 1 Jul 2003

Fingerprint

Chevalley Groups

Finite Group

Subgroup

Neumann Problem

Galois field

Intersection

Theorem

Keywords

Chevalley group
Conjugately dense subgroup
Locally finite field
Monomial subgroup
Parabolic subgroup

ASJC Scopus subject areas

Mathematics(all)

Cite this

Zyubin, S. A., & Levchuk, V. M. (2003). Conjugately dense subgroups of locally finite Chevalley groups of Lie rank 1. Siberian Mathematical Journal, 44(4), 581-586. https://doi.org/10.1023/A:1024772104335

Conjugately dense subgroups of locally finite Chevalley groups of Lie rank 1. / Zyubin, S. A.; Levchuk, V. M.

In: Siberian Mathematical Journal, Vol. 44, No. 4, 01.07.2003, p. 581-586.

Research output: Contribution to journal › Article

Zyubin, SA & Levchuk, VM 2003, 'Conjugately dense subgroups of locally finite Chevalley groups of Lie rank 1', Siberian Mathematical Journal, vol. 44, no. 4, pp. 581-586. https://doi.org/10.1023/A:1024772104335

Zyubin SA, Levchuk VM. Conjugately dense subgroups of locally finite Chevalley groups of Lie rank 1. Siberian Mathematical Journal. 2003 Jul 1;44(4):581-586. https://doi.org/10.1023/A:1024772104335

Zyubin, S. A. ; Levchuk, V. M. / Conjugately dense subgroups of locally finite Chevalley groups of Lie rank 1. In: Siberian Mathematical Journal. 2003 ; Vol. 44, No. 4. pp. 581-586.

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Access to Document

10.1023/A:1024772104335