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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| Datum: | 2013 |
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Інститут прикладної математики і механіки НАН України
2013
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| Schriftenreihe: | Algebra and Discrete Mathematics |
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| 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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irk-123456789-1522652019-06-10T01:25:19Z Associative words in the symmetric group of degree three Plonka, E. 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. 2013 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/152265 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Plonka, E. |
| spellingShingle |
Plonka, E. Associative words in the symmetric group of degree three Algebra and Discrete Mathematics |
| author_facet |
Plonka, E. |
| author_sort |
Plonka, E. |
| title |
Associative words in the symmetric group of degree three |
| title_short |
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_sort |
associative words in the symmetric group of degree three |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152265 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT plonkae associativewordsinthesymmetricgroupofdegreethree |
| first_indexed |
2025-07-13T02:42:28Z |
| last_indexed |
2025-07-13T02:42:28Z |
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1837497895111098368 |