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Affine semigroups acting properly discontinuously on a hyperbolic space |
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| Authors: | G.?A.?Soifer author-information" > author-information__contact u-icon-before" > mailto:soifer@macs.biu.ac.il" title=" soifer@macs.biu.ac.il" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | 1.Department of Mathematics,Bar-Ilan University,Ramat-Gan,Israel |
| Abstract: | 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? We proved that that for n = 2 the answer is “yes”. |
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