CFT 2011

The transition constant was introduced in our 1981 paper and denoted as N(14). This constant is fundamental since if the degree of the ground field of an arithmetic hyperbolic reflection group is greater than N(14), then the field comes from special plane reflection groups. In recent paper, we gave its upper bound 56. Using similar but more difficult considerations, here we show that the upper bound is 25. As applications, we show that the degree of ground fields of arithmetic hyperbolic reflection groups in dimensions at least 6 has the upper bound 25 (it was 56 before); in dimensions 5, 4, and 3 it has the upper bound 44 (in our papers, it was 138, and 909 before). These results and developed methods will be important for further classification of these groups. See details in arXiv:0910.5217 .

Dienstag, den 20. September 2011 um 16:00 Uhr, in INF288, HS2 Dienstag, den 20. September 2011 at 16:00, in INF288, HS2