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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.08748 |
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| _version_ | 1866912890973323264 |
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| author | Molyneux, Lewis |
| author_facet | Molyneux, Lewis |
| contents | We reintroduce a previously discovered method for constructing tree pair representations for Algebraic Bieri-Strebel groups, as well as demonstrate a class of higher order groups that cannot have a tree pair representation. In doing so, we demonstrate that there is no maximum degree such that for all polynomials of higher degree, the associated Algebraic Bieri Strebel group must have a tree-pair representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_08748 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Tree Pairs for Algebraic Bieri-Strebel Groups Molyneux, Lewis Group Theory 20F65 We reintroduce a previously discovered method for constructing tree pair representations for Algebraic Bieri-Strebel groups, as well as demonstrate a class of higher order groups that cannot have a tree pair representation. In doing so, we demonstrate that there is no maximum degree such that for all polynomials of higher degree, the associated Algebraic Bieri Strebel group must have a tree-pair representation. |
| title | Tree Pairs for Algebraic Bieri-Strebel Groups |
| topic | Group Theory 20F65 |
| url | https://arxiv.org/abs/2602.08748 |