Associative words in the symmetric group of degree three
Let G be a group. An element w(x, y) of the absolutely free group on free generators x, y is called an associative word in G if the equality w(w(g₁, g₂), g₃)=w(g₁, w(g₂, g₃)) holds for all g₁, g₂ ∈ G. In this paper we determine all associative words in the symmetric group on three letters....
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2013 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2013
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152265 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Associative words in the symmetric group of degree three / E. Plonka // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 83–95. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862544275786432512 |
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| author | Plonka, E. |
| author_facet | Plonka, E. |
| citation_txt | Associative words in the symmetric group of degree three / E. Plonka // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 83–95. — Бібліогр.: 9 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let G be a group. An element w(x, y) of the absolutely free group on free generators x, y is called an associative word in G if the equality w(w(g₁, g₂), g₃)=w(g₁, w(g₂, g₃)) holds for all g₁, g₂ ∈ G. In this paper we determine all associative words in the symmetric group on three letters.
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| first_indexed | 2025-11-24T23:55:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152265 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T23:55:19Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Plonka, E. 2019-06-09T13:54:07Z 2019-06-09T13:54:07Z 2013 Associative words in the symmetric group of degree three / E. Plonka // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 1. — С. 83–95. — Бібліогр.: 9 назв. — англ. 1726-3255 2010 MSC:20B30, 08A40,20F12. https://nasplib.isofts.kiev.ua/handle/123456789/152265 Let G be a group. An element w(x, y) of the absolutely free group on free generators x, y is called an associative word in G if the equality w(w(g₁, g₂), g₃)=w(g₁, w(g₂, g₃)) holds for all g₁, g₂ ∈ G. In this paper we determine all associative words in the symmetric group on three letters. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Associative words in the symmetric group of degree three Article published earlier |
| spellingShingle | Associative words in the symmetric group of degree three Plonka, E. |
| title | Associative words in the symmetric group of degree three |
| title_full | Associative words in the symmetric group of degree three |
| title_fullStr | Associative words in the symmetric group of degree three |
| title_full_unstemmed | Associative words in the symmetric group of degree three |
| title_short | Associative words in the symmetric group of degree three |
| title_sort | associative words in the symmetric group of degree three |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152265 |
| work_keys_str_mv | AT plonkae associativewordsinthesymmetricgroupofdegreethree |