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....
Gespeichert in:
| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2013 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2013
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152265 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| 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. |