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 \(w(w(g_1,g_2),g_3)=w(g_1,w(g_2,g_3))\) holds for all \(g_1,g_2 \in G\). In this paper we determine all associative words in the symmetric group on...
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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/736 |
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| Journal Title: | Algebra and Discrete Mathematics |