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

S. A. Zyubin, V. M. Levchuk

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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 languageEnglish
Pages (from-to)581-586
Number of pages6
JournalSiberian Mathematical Journal
Volume44
Issue number4
DOIs
Publication statusPublished - 1 Jul 2003

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Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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