On the Growth of Groups and Automorphisms.
We consider the growth functions beta(Gamma)(n) of amalgamated free products Gamma = A *(C) B, where A congruent to B are finitely generated, C is free abelian and \A/C\ = A/B\ = 2. For every d is an element of N there exist examples with beta(Gamma)(n) similar or equal to n(d+1)beta(A)(n). There al...
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| Materialtyp: | Conference item |
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2005
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| _version_ | 1826306948621926400 |
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| author | Bridson, M |
| author_facet | Bridson, M |
| author_sort | Bridson, M |
| collection | OXFORD |
| description | We consider the growth functions beta(Gamma)(n) of amalgamated free products Gamma = A *(C) B, where A congruent to B are finitely generated, C is free abelian and \A/C\ = A/B\ = 2. For every d is an element of N there exist examples with beta(Gamma)(n) similar or equal to n(d+1)beta(A)(n). There also exist examples with beta(Gamma)(n) similar or equal to e(n). Similar behavior is exhibited among Dehn functions. |
| first_indexed | 2024-03-07T06:55:39Z |
| format | Conference item |
| id | oxford-uuid:fe13221b-0fc4-41ff-a9d2-f25deefc5a9b |
| institution | University of Oxford |
| last_indexed | 2024-03-07T06:55:39Z |
| publishDate | 2005 |
| record_format | dspace |
| spelling | oxford-uuid:fe13221b-0fc4-41ff-a9d2-f25deefc5a9b2022-03-27T13:33:29ZOn the Growth of Groups and Automorphisms.Conference itemhttp://purl.org/coar/resource_type/c_5794uuid:fe13221b-0fc4-41ff-a9d2-f25deefc5a9bSymplectic Elements at Oxford2005Bridson, MWe consider the growth functions beta(Gamma)(n) of amalgamated free products Gamma = A *(C) B, where A congruent to B are finitely generated, C is free abelian and \A/C\ = A/B\ = 2. For every d is an element of N there exist examples with beta(Gamma)(n) similar or equal to n(d+1)beta(A)(n). There also exist examples with beta(Gamma)(n) similar or equal to e(n). Similar behavior is exhibited among Dehn functions. |
| spellingShingle | Bridson, M 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 bridsonm onthegrowthofgroupsandautomorphisms |