Locally compact contractive local groups

Lou Van Den Dries, Isaac Goldbring

Research output: Contribution to journalArticle

Abstract

We study locally compact contractive local groups, that is, locally compact local groups with a contractive pseudo-automorphism. We prove that if such an object is locally connected, then it is locally isomorphic to a Lie group. We also prove a related structure theorem for locally compact contractive local groups which are not necessarily locally connected. These results are local analogues of theorems for locally compact contractive groups.

Original languageEnglish (US)
Pages (from-to)685-695
Number of pages11
JournalJournal of Lie Theory
Volume19
Issue number4
StatePublished - Dec 1 2009

Keywords

  • Contractive pseudoautomorphisms
  • Locally compact local groups
  • Mal'cev's theorem

ASJC Scopus subject areas

  • Algebra and Number Theory

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