REGULAR COMBINGS, NONPOSITIVE CURVATURE AND THE QUASICONVEXITY OF ABELIAN SUBGROUPS
We study the geometry of abelian subgroups relative to combings (normal forms) of automatic groups and groups which act properly and cocompactly on spaces of nonpositive curvature. We prove that in general combings which arise in the latter context are incompatible (in a sense which we make precise)...
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| Format: | Journal article |
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1993
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| _version_ | 1797086245727240192 |
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| author | Bridson, M |
| author_facet | Bridson, M |
| author_sort | Bridson, M |
| collection | OXFORD |
| description | We study the geometry of abelian subgroups relative to combings (normal forms) of automatic groups and groups which act properly and cocompactly on spaces of nonpositive curvature. We prove that in general combings which arise in the latter context are incompatible (in a sense which we make precise) with regular combings, the fundamental objects of automatic group theory. © 1993. |
| first_indexed | 2024-03-07T02:19:23Z |
| format | Journal article |
| id | oxford-uuid:a36115d8-335f-44a9-b197-3fe0171a7446 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:19:23Z |
| publishDate | 1993 |
| record_format | dspace |
| spelling | oxford-uuid:a36115d8-335f-44a9-b197-3fe0171a74462022-03-27T02:26:30ZREGULAR COMBINGS, NONPOSITIVE CURVATURE AND THE QUASICONVEXITY OF ABELIAN SUBGROUPSJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a36115d8-335f-44a9-b197-3fe0171a7446Symplectic Elements at Oxford1993Bridson, MWe study the geometry of abelian subgroups relative to combings (normal forms) of automatic groups and groups which act properly and cocompactly on spaces of nonpositive curvature. We prove that in general combings which arise in the latter context are incompatible (in a sense which we make precise) with regular combings, the fundamental objects of automatic group theory. © 1993. |
| spellingShingle | Bridson, M REGULAR COMBINGS, NONPOSITIVE CURVATURE AND THE QUASICONVEXITY OF ABELIAN SUBGROUPS |
| title | REGULAR COMBINGS, NONPOSITIVE CURVATURE AND THE QUASICONVEXITY OF ABELIAN SUBGROUPS |
| title_full | REGULAR COMBINGS, NONPOSITIVE CURVATURE AND THE QUASICONVEXITY OF ABELIAN SUBGROUPS |
| title_fullStr | REGULAR COMBINGS, NONPOSITIVE CURVATURE AND THE QUASICONVEXITY OF ABELIAN SUBGROUPS |
| title_full_unstemmed | REGULAR COMBINGS, NONPOSITIVE CURVATURE AND THE QUASICONVEXITY OF ABELIAN SUBGROUPS |
| title_short | REGULAR COMBINGS, NONPOSITIVE CURVATURE AND THE QUASICONVEXITY OF ABELIAN SUBGROUPS |
| title_sort | regular combings nonpositive curvature and the quasiconvexity of abelian subgroups |
| work_keys_str_mv | AT bridsonm regularcombingsnonpositivecurvatureandthequasiconvexityofabeliansubgroups |