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.References
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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