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On (𝑛 + ½)-Engel groups.
- Source :
-
Journal of Group Theory . May2020, Vol. 23 Issue 3, p503-511. 9p. - Publication Year :
- 2020
-
Abstract
- Let n be a positive integer. We say that a group G is an (n + ½)-Engel group if it satisfies the law [x, ny, x ] = 1. The variety of (n + ½)-Engel groups lies between the varieties of n-Engel groups and (n + 1)-Engel groups. In this paper, we study these groups, and in particular, we prove that all (4 + ½)-Engel {2,3}-groups are locally nilpotent. We also show that if G is a (4 + ½)-Engel p-group, where p ≥ 5 is a prime, then Gp is locally nilpotent. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LIE groups
*INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 14335883
- Volume :
- 23
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Group Theory
- Publication Type :
- Academic Journal
- Accession number :
- 143168977
- Full Text :
- https://doi.org/10.1515/jgth-2019-0105