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Multifraction reduction IV : padding and Artin–Tits monoids of sufficiently large type
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Dehornoy, Patrick, Holt, Derek F. and Rees, Sarah (2018) Multifraction reduction IV : padding and Artin–Tits monoids of sufficiently large type. Journal of Pure and Applied Algebra, 222 (12). pp. 4082-4098. doi:10.1016/j.jpaa.2018.02.021 ISSN 0022-4049.
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Official URL: https://doi.org/10.1016/j.jpaa.2018.02.021
Abstract
We investigate the padded version of reduction, an extension of multifraction reduction as defined in arXiv:1606.08991, and connect it both with ordinary reduction and with the so-called Property H. As an application, we show that all Artin–Tits groups of sufficiently large type satisfy some weakened version Conjecture Apadded of Conjecture A, thus showing that the reduction approach is relevant for these groups.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Semigroups, Monoids | ||||||||
| Journal or Publication Title: | Journal of Pure and Applied Algebra | ||||||||
| Publisher: | Elsevier Science BV | ||||||||
| ISSN: | 0022-4049 | ||||||||
| Official Date: | December 2018 | ||||||||
| Dates: |
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| Volume: | 222 | ||||||||
| Number: | 12 | ||||||||
| Page Range: | pp. 4082-4098 | ||||||||
| DOI: | 10.1016/j.jpaa.2018.02.021 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Date of first compliant deposit: | 1 February 2018 | ||||||||
| Date of first compliant Open Access: | 16 March 2019 | ||||||||
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