On dense free subgroups of Lie groups -- revisited
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918513149476864 |
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| author | Breuillard, Emmanuel Gelander, Tsachik |
| author_facet | Breuillard, Emmanuel Gelander, Tsachik |
| contents | We show that every dense subgroup of a connected Lie group G contains a dense subgroup generated by 2d elements, where d=dim(G). We also give a detailed proof for the quantitive characterization of a contracting projective transformation in terms of the ratio between the two leading terms in its Cartan decomposition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_20568 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On dense free subgroups of Lie groups -- revisited Breuillard, Emmanuel Gelander, Tsachik Group Theory We show that every dense subgroup of a connected Lie group G contains a dense subgroup generated by 2d elements, where d=dim(G). We also give a detailed proof for the quantitive characterization of a contracting projective transformation in terms of the ratio between the two leading terms in its Cartan decomposition. |
| title | On dense free subgroups of Lie groups -- revisited |
| topic | Group Theory |
| url | https://arxiv.org/abs/2605.20568 |