Word length in symmetrized presentations of Thompson’s group F
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Word length in symmetrized presentations of Thompson’s group F
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| Creator |
Horak, M.
Johnson, A. Stonesifer, A. |
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| Description |
Thompson's groups F, T and Z were introduced by Richard Thompson in the 1960's in connection with questions in logic. They have since found applications in many areas of mathematics including algebra, logic and topology, and their metric properties with respect to standard generating sets have been studied heavily. In this paper, we introduce a new family of generating sets for F, which we denote as Zn, establish a formula for the word metric with respect to Z₁ and prove that F has dead ends of depth at least 2 with respect to Z₁.
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| Date |
2019-06-09T06:07:09Z
2019-06-09T06:07:09Z 2012 |
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| Type |
Article
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| Identifier |
Word length in symmetrized presentations of Thompson’s group F / M. Horak, A. Johnson, A. Stonesifer // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 185–216. — Бібліогр.: 12 назв. — англ.
1726-3255 2010 MSC:20F65. http://dspace.nbuv.gov.ua/handle/123456789/152238 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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