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math.GRDec 1, 2012
16
citations (OpenAlex)
authors
  • Gopal Prasad
  • Andrei S. Rapinchuk
arXiv abstractPDF
paper

Generic elements in Zariski-dense subgroups and isospectral locally symmetric spaces

arXiv:1212.1217

Abstract

The article contains a survey of results on length-commensurable and isospectral locally symmetric spaces and related problems in the theory of semi-simple algebraic groups.

New material has been added in section 9

References in corpus (6)

  • Weakly commensurable arithmetic groups, lengths of closed geodesics and isospectral locally symmetric spaces
  • Quaternion algebras with the same subfields
  • Outer automorphisms of algebraic groups and determining groups by their maximal tori
  • Weakly commensurable S-arithmetic subgroups in almost simple algebraic groups of types B and C
  • Number theoretic techniques in the theory of Lie groups and differential geometry
  • Embedding functors and their arithmetic properties

Cited by in corpus (3)

  • Division algebras with the same maximal subfields
  • Generic Phenomena in Groups -- Some Answers and Many Questions
  • Diagonal flow detects topology of strata
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