Density Properties of Orbits under Discrete Groups

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Authors

  • J. S. Dani
     Centre of Advanced Study in Mathematics, University of Bombay, Bombay 400 029 ,IN

Abstract

Let k be a locally compact, nondiscrete (commutative) field and let D be a finite dimensional division algebra over k such that k is contained in the centre of D.

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Published

1975-12-01

How to Cite

Dani, J. S. (1975). Density Properties of Orbits under Discrete Groups. The Journal of the Indian Mathematical Society, 39(1-4), 189–218. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/16647

Issue

Volume 39, Issue 1-4, March-December 1975

Section

Articles

License

Copyright (c) 1975 J. S. Dani

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

J.S. DAM AND S.G. DANI, Discrete groups with dense orbits, J. Ind. Math. Soc. Vol. 37 (1973) 183-195.

S.G. DANI, Kolmogorov automorphisms on homogeneous spaces, Amer. J. Math, (to appear).

L. GREENBERG, Discrete groups with dense orbits, Flows on homogeneous spaces, Ann of Math. Studies, No. 53, 85-103.

C.C. MOORE, Ergodicity of flows on homogeneous spaces, Amer. J. Math. Vol. 88 (1966), 154-178.

O.T. O'MEARA, Introduction to Quadratic Forms, Springer-Verlag Berlin.

T. TAMAGAVA, On discrete subgroups of p-adic algebraic groups, Proc. Conf. on Arithmetical algebraic geometry, Purdue, 1963, 11-17.