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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2106.05821 |
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| _version_ | 1866929330517442560 |
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| author | Klyachko, Anton A. Zakharov, Alexander O. |
| author_facet | Klyachko, Anton A. Zakharov, Alexander O. |
| contents | The Friedman--Mineyev theorem, earlier known as the (strengthened) Hanna Neumann conjecture, gives a sharp estimate for the rank of the intersection of two subgroups in a free group. We obtain an analogue of this inequality for any two subgroups in a virtually free group (or, more generally, in a group containing a free product of left-orderable groups as a finite-index subgroup). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_05821 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | An analogue of the strengthened Hanna Neumann conjecture for virtually free groups and virtually free products Klyachko, Anton A. Zakharov, Alexander O. Group Theory The Friedman--Mineyev theorem, earlier known as the (strengthened) Hanna Neumann conjecture, gives a sharp estimate for the rank of the intersection of two subgroups in a free group. We obtain an analogue of this inequality for any two subgroups in a virtually free group (or, more generally, in a group containing a free product of left-orderable groups as a finite-index subgroup). |
| title | An analogue of the strengthened Hanna Neumann conjecture for virtually free groups and virtually free products |
| topic | Group Theory |
| url | https://arxiv.org/abs/2106.05821 |