On the uniqueness of arithmetic structures

Author:

Johnson F. E. A.

Abstract

Margulis has given conditions under which a lattice in a semisimple Lie group admits the structure of an arithmetic subgroup. We show that these arithmetic structures are unique. The result is not subject to the condition“rkR(G)≧ 2” required by the Margulis result. In the lowest dimensions, the result has previously been observed by Takeuchi, Maclachlan and Reid.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Discrete Arithmetic Groups;The Arithmetic of Hyperbolic 3-Manifolds;2003

2. Arithmetic rigidity and units in group rings;Transactions of the American Mathematical Society;2001-05-09

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