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Arithmetic groups and the Lehmer conjecture

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اقرأ أكثر حفظ في قائمتي
  • المؤلفون: Pham, Lam; Thilmany, François
  • المصدر:
    Israel Journal of Mathematics, Vol. 245, no.np, p. 839-868 (2021)
  • نوع التسجيلة:
    article in journal/newspaper
  • اللغة:
    English
  • معلومة اضافية
    • Contributors:
      UCL - SST/IRMP - Institut de recherche en mathématique et physique
    • بيانات النشر:
      Magnes Press
    • الموضوع:
      2021
    • Collection:
      DIAL@USL-B (Université Saint-Louis, Bruxelles)
    • نبذة مختصرة :
      We generalize a result of Sury [Sur92] and prove that uniform discreteness of cocompact lattices in higher rank semisimple Lie groups (first conjectured by Margulis [Mar91]) is equivalent to a weak form of Lehmer’s conjecture. We include a short survey of related results and conjectures.
    • ISSN:
      0021-2172
      1565-8511
    • Relation:
      boreal:271358; http://hdl.handle.net/2078.1/271358; urn:ISSN:0021-2172; urn:EISSN:1565-8511
    • الرقم المعرف:
      10.1007/s11856-021-2229-7
    • Rights:
      info:eu-repo/semantics/openAccess
    • الرقم المعرف:
      edsbas.344A1345