Abstract
In this note we answer a question of Peter Neumann, based on some earlier more general questions of R. Zimmer concerning actions of arithmetic groups and Lie groups on manifolds. The main question of Zimmer is the following.
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References
P. J. Cameron, Oligomorphic Permutation Groups, London Math. Soc. Lecture Notes Series 152, Cambridge University Press, Cambridge, 1990.
Gy. Károlyi, S. J. Kovács, P. P. Pálfy, Doubly transitive permutation groups with abelian stabiliser, Aequationes Math. 39 (1990), 161–166.
H. D. Macpherson and C. E. Praeger, Cycle types in infinite permutation groups, J. Algebra, to appear.
V. D. Mazurov, Doubly transitive permutation groups, Sibirsk. Mat. Zh. 31 (1990), 102 – 104 (in Russian).
P. M. Neumann, Automorphisms of the rational world, J. London Math. Soc. 32 (1985), 439–448.
W.R. Scott, Group Theory, Prentice-Hall, Englewood Cliffs, 1964.
J. K. Truss, The group of the countable universal graph, Math. Proc. Cam-bridge Philos. Soc. 98 (1985), 213–245.
J. K. Truss, The group of almost automorphisms of the countable universal graph, Math. Proc. Cambridge Philos. Soc. 105 (1989), 223–236.
J. K. Truss, Generic automorphisms of homogeneous structures, Proc. London Math. Soc., to appear.
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© 1996 Kluwer Academic Publishers
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Macpherson, D. (1996). Permutation Groups Whose Subgroups Have Just Finitely Many Orbits. In: Holland, W.C. (eds) Ordered Groups and Infinite Permutation Groups. Mathematics and Its Applications, vol 354. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3443-9_8
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DOI: https://doi.org/10.1007/978-1-4613-3443-9_8
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