The torsion-free rank of homology in towers of soluble pro-p groups
We show that for every finitely presented pro-p nilpotent-by-abelian-by-finite group G there is an upper bound on dimℚp (H1(M, ℤp) ⊗ℤp ℚp), as M runs through all pro-p subgroups of finite index in G.
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Published: |
Springer
2017
|
| _version_ | 1826299898156285952 |
|---|---|
| author | Bridson, M Kochloukova, D |
| author_facet | Bridson, M Kochloukova, D |
| author_sort | Bridson, M |
| collection | OXFORD |
| description | We show that for every finitely presented pro-p nilpotent-by-abelian-by-finite group G there is an upper bound on dimℚp (H1(M, ℤp) ⊗ℤp ℚp), as M runs through all pro-p subgroups of finite index in G. |
| first_indexed | 2024-03-07T05:08:56Z |
| format | Journal article |
| id | oxford-uuid:dae4e590-3034-46e5-affc-4be00473d20f |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:08:56Z |
| publishDate | 2017 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:dae4e590-3034-46e5-affc-4be00473d20f2022-03-27T09:06:26ZThe torsion-free rank of homology in towers of soluble pro-p groupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:dae4e590-3034-46e5-affc-4be00473d20fSymplectic Elements at OxfordSpringer2017Bridson, MKochloukova, DWe show that for every finitely presented pro-p nilpotent-by-abelian-by-finite group G there is an upper bound on dimℚp (H1(M, ℤp) ⊗ℤp ℚp), as M runs through all pro-p subgroups of finite index in G. |
| spellingShingle | Bridson, M Kochloukova, D The torsion-free rank of homology in towers of soluble pro-p groups |
| title | The torsion-free rank of homology in towers of soluble pro-p groups |
| title_full | The torsion-free rank of homology in towers of soluble pro-p groups |
| title_fullStr | The torsion-free rank of homology in towers of soluble pro-p groups |
| title_full_unstemmed | The torsion-free rank of homology in towers of soluble pro-p groups |
| title_short | The torsion-free rank of homology in towers of soluble pro-p groups |
| title_sort | torsion free rank of homology in towers of soluble pro p groups |
| work_keys_str_mv | AT bridsonm thetorsionfreerankofhomologyintowersofsolublepropgroups AT kochloukovad thetorsionfreerankofhomologyintowersofsolublepropgroups AT bridsonm torsionfreerankofhomologyintowersofsolublepropgroups AT kochloukovad torsionfreerankofhomologyintowersofsolublepropgroups |