Periodic locally nilpotent groups of finite c-dimension

Alexander Buturlakin, I. E. Devyatkova

Research output: Contribution to journalArticlepeer-review

Abstract

According to Bryant's theorem a periodic locally nilpotent group satisfying minimal condition on centralizers is virtually nilpotent. The c-dimension of a group is the supremum of lengths of chains of centralizers. We bound the index of the nilpotent radical of a locally nilpotent p-group of finite c-dimension k in terms of k and p.

Original languageEnglish
Pages (from-to)1100-1105
Number of pages6
JournalSiberian Electronic Mathematical Reports
Volume17
DOIs
Publication statusPublished - 2020

Keywords

  • c-dimension
  • locally nilpotent p-group
  • periodic locally nilpotent group

OECD FOS+WOS

  • 1.01 MATHEMATICS

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