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...
Gespeichert in:
| Datum: | 2018 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
|
| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/736 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-736 |
|---|---|
| record_format |
ojs |
| spelling |
oai:ojs.admjournal.luguniv.edu.ua:article-7362018-04-26T00:47:27Z Associative words in the symmetric group of degree three Plonka, Ernest associative words, symmetric group \(S_3\) 20B30, 08A40,20F12 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 three letters. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/736 Algebra and Discrete Mathematics; Vol 15, No 1 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/736/267 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-26T00:47:27Z |
| collection |
OJS |
| language |
English |
| topic |
associative words symmetric group \(S_3\) 20B30 08A40,20F12 |
| spellingShingle |
associative words symmetric group \(S_3\) 20B30 08A40,20F12 Plonka, Ernest Associative words in the symmetric group of degree three |
| topic_facet |
associative words symmetric group \(S_3\) 20B30 08A40,20F12 |
| format |
Article |
| author |
Plonka, Ernest |
| author_facet |
Plonka, Ernest |
| author_sort |
Plonka, Ernest |
| 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 |
| 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 \(w(w(g_1,g_2),g_3)=w(g_1,w(g_2,g_3))\) holds for all \(g_1,g_2 \in G\). In this paper we determine all associative words in the symmetric group on three letters. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/736 |
| work_keys_str_mv |
AT plonkaernest associativewordsinthesymmetricgroupofdegreethree |
| first_indexed |
2025-07-17T10:32:53Z |
| last_indexed |
2025-07-17T10:32:53Z |
| _version_ |
1837889878653665280 |