On the growth of groups and automorphisms
We consider the growth functions βΓ(n) of amalgamated free products Γ = A *C B, where A ≅ B are finitely generated, C is free abelian and |A/C| = |A/B| = 2. For every d ∈ ℕ there exist examples with βΓ(n) ≃ n d+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among De...
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| Формат: | Journal article |
| Язык: | English |
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2005
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| _version_ | 1826283011713269760 |
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| author | Bridson, MR |
| author_facet | Bridson, MR |
| author_sort | Bridson, MR |
| collection | OXFORD |
| description | We consider the growth functions βΓ(n) of amalgamated free products Γ = A *C B, where A ≅ B are finitely generated, C is free abelian and |A/C| = |A/B| = 2. For every d ∈ ℕ there exist examples with βΓ(n) ≃ n d+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among Dehn functions. © World Scientific Publishing Company. |
| first_indexed | 2024-03-07T00:52:29Z |
| format | Journal article |
| id | oxford-uuid:86deae8a-b8cd-4a32-a22a-11845eeaa647 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:52:29Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:86deae8a-b8cd-4a32-a22a-11845eeaa6472022-03-26T22:06:58ZOn the growth of groups and automorphismsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:86deae8a-b8cd-4a32-a22a-11845eeaa647EnglishSymplectic Elements at Oxford2005Bridson, MRWe consider the growth functions βΓ(n) of amalgamated free products Γ = A *C B, where A ≅ B are finitely generated, C is free abelian and |A/C| = |A/B| = 2. For every d ∈ ℕ there exist examples with βΓ(n) ≃ n d+1βA(n). There also exist examples with βΓ(n) ≃ en. Similar behavior is exhibited among Dehn functions. © World Scientific Publishing Company. |
| spellingShingle | Bridson, MR On the growth of groups and automorphisms |
| title | On the growth of groups and automorphisms |
| title_full | On the growth of groups and automorphisms |
| title_fullStr | On the growth of groups and automorphisms |
| title_full_unstemmed | On the growth of groups and automorphisms |
| title_short | On the growth of groups and automorphisms |
| title_sort | on the growth of groups and automorphisms |
| work_keys_str_mv | AT bridsonmr onthegrowthofgroupsandautomorphisms |