Associative words in the symmetric group of degree three
Vernadsky National Library of Ukraine
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Title |
Associative words in the symmetric group of degree three
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Creator |
Plonka, E.
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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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Date |
2019-06-09T13:54:07Z
2019-06-09T13:54:07Z 2013 |
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Type |
Article
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Identifier |
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 |
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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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