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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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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
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
URN:
uuid:02ec1abf-9f62-4d2d-a0a7-ec9502650bfe
Source identifiers:
15263
Local pid:
pubs:15263
Language:
English
Keywords:

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