Journal article
Free and fragmenting filling length
- Abstract:
-
The filling length of an edge-circuit \eta in the Cayley 2-complex of a finite presentation of a group is the least integer L such that there is a combinatorial null-homotopy of \eta down to a base point through loops of length at most L. We introduce similar notions in which the null-homotopy is not required to fix a basepoint, and in which the contracting loop is allowed to bifurcate. We exhibit groups in which the resulting filling invariants exhibit dramatically different behaviour to the...
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- Publication status:
- Published
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- Publisher copy:
- 10.1016/j.jalgebra.2006.05.030
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Bibliographic Details
- Journal:
- Journal of Algebra, 307(1), pages 171-190, 2007
- Volume:
- 307
- Issue:
- 1
- Pages:
- 171-190
- Publication date:
- 2005-12-07
- DOI:
- EISSN:
-
1090-266X
- ISSN:
-
0021-8693
- Source identifiers:
-
15263
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:15263
- UUID:
-
uuid:02ec1abf-9f62-4d2d-a0a7-ec9502650bfe
- Local pid:
- pubs:15263
- Deposit date:
- 2012-12-19
Terms of use
- Copyright date:
- 2005
- Notes:
- 19 pages, 9 figures, to appear in the Journal of Algebra
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