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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Fibrations of locally symmetric spaces and the failure of the Jordan-Hölder property
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by F. E. A. Johnson PDF
Proc. Amer. Math. Soc. 98 (1986), 287-293 Request permission

Abstract:

We construct examples of locally symmetric spaces which fibre, with both base space and fibre also locally symmetric, in two distinct ways so that neither fibre nor base of one is homeomorphic to either fibre or base of the other. The simplest example is a complex surface which fibres over a complex curve in two essentially distinct ways. In consequence, the Jordan-Hölder property fails for large classes of irreducible discrete subgroups of Lie groups.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 98 (1986), 287-293
  • MSC: Primary 22E40; Secondary 20E15, 32L25, 55R10
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0854035-8
  • MathSciNet review: 854035