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The dynamics of an Action of Sp(2n, Z)

Published online by Cambridge University Press:  17 April 2009

Anthony Nielsen
Anthony Nielsen
Affiliation:
Department of Mathematics, La Trobe University, Melbourne, Australia 3086, e-mail: [email protected]
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S.G. Dani and S. Raghavan showed the linear action of Sp(2n,ℤ) on the space of symplectic p-frames for p ≤ n is topologically transitive. We give an alternative proof, from the prime number theorem and the congruence subgroup theorem, and show the action of every finite index subgroup of Sp(2n, ℤ) is topologically transitive.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 71 , Issue 3 , June 2005 , pp. 399 - 404
Copyright
Copyright © Australian Mathematical Society 2005

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