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Centralizers, Normalizers, and Commensurators

  • Hyman Bass
  • Alexander Lubotzky
Chapter
  • 350 Downloads
Part of the Progress in Mathematics book series (PM, volume 176)

Abstract

Consider a group G and a subgroup Γ ≤ G. We are interested here in the centralizer Z G (Γ), normalizer N G (Γ), and commensurator C G (Γ) (see (6.1)). In (6.2)—(6.4), G will be a topological group. From (6.5) on, G = Aut(X), where X is a tree. Whenever we assume that Γ is an X-lattice, it is implicity assumed also that X is locally finite.

Keywords

Normal Subgroup Finite Group Cayley Graph Free Product Closed Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2001

Authors and Affiliations

  • Hyman Bass
    • 1
  • Alexander Lubotzky
    • 2
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.Department of MathematicsHebrew UniversityJerusalemIsrael

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