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On the right n-Engel group elements | ||
| International Journal of Group Theory | ||
| مقاله 7، دوره 1، شماره 1، خرداد 2012، صفحه 47-51 اصل مقاله (282.18 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2012.472 | ||
| نویسنده | ||
| H. Khosravi | ||
| چکیده | ||
| In this paper we study right $n$-Engel group elements. By modifying a group constructed by Newman and Nickel, we construct, for each integer $n\geq 5$, a 2-generator group $G =\langle a, b\rangle$ with the property that $b$ is a right $n$-Engel element but where $[b^k,_n a]$ is of infinite order when $k\notin \{0, 1\}$. | ||
| کلیدواژهها | ||
| Engel elements؛ right Engel elements؛ right n-Engel elements | ||
| مراجع | ||
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A. Abdollahi and H. Khosravi (2010) On the right and left 4-Engel elements Communications in Algebra 38, 1-11
A. Abdollahi and H. Khosravi (2010) Right 4-Engel elements in a group Journal of Algebra and Its Applications 9, 763-769
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Programing
W. Nickel (1999) Some groups with right Engel elements Groups St. Andrews 1997 in Bath, II, London
Math. Soc. Lecture Note Ser. 261, 571-578
The GAP Group (2004) GAP-Groups, Algoritms, and Programing http://www.gap-system.org Version 4.4.4
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