Affine semigroups acting properly discontinuously on a hyperbolic space

作者:Soifer G A*
来源:Israel Journal of Mathematics, 2013, 194(2): 703-722.
DOI:10.1007/s11856-012-0102-4

摘要

In this paper we study the dynamics of properly discontinuous and crystallographic affine semigroups leaving a hyperbolic form, i.e. a quadratic from of signature (n, 1) invariant. The motivating question here is a question stated by H. Abels, G. Margulis and the author: Is the Zariski closure of a crystallographic affine semigroup leaving a hyperbolic form invariant a virtually solvable group? %26lt;br%26gt;We proved that that for n = 2 the answer is %26quot;yes%26quot;.

  • 出版日期2013-3

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