| Autor: |
Gelander, Tsachik, Slutsky, Raz |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Journal of Lie Theory, 30(1), 33-40 |
| Druh dokumentu: |
Working Paper |
| Popis: |
We prove that the rank (that is, the minimal size of a generating set) of lattices in a general connected Lie group is bounded by the co-volume of the projection of the lattice to the semi-simple part of the group. This was proved by Gelander for semi-simple Lie groups and by Mostow for solvable Lie groups. Here we consider the general case, relying on the semi-simple case. In particular, we extend Mostow's theorem from solvable to amenable groups. |
| Databáze: |
arXiv |
| Externí odkaz: |
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