Dokuchaev, M.; Kirichenko, V.; Polcino Milies, C. Engel subgroups of triangular matrices over local rings. (English) Zbl 1099.20026 J. Algebra 290, No. 2, 433-446 (2005). The authors describe, up to conjugacy, the maximal Engel subgroups of the full \(n\) by \(n\) upper triangular group over the local ring \(R\) with maximal ideal \(\mathbf m\), where either \(R\) is commutative or \(R\) is Artinian with \(R/\mathbf m\) commutative and \(\mathbf{m/m}^2\) central in \(R/{\mathbf m}^2\). Reviewer: B. A. F. Wehrfritz (London) Cited in 3 Documents MSC: 20H25 Other matrix groups over rings 20F45 Engel conditions Keywords:Engel groups; matrix groups; local rings; groups of upper triangular matrices; maximal Engel subgroups PDFBibTeX XMLCite \textit{M. Dokuchaev} et al., J. Algebra 290, No. 2, 433--446 (2005; Zbl 1099.20026) Full Text: DOI References: [1] Shirvani, M.; Wehrfritz, B. A.F., Skew Linear Groups (1986), Cambridge Univ. Press: Cambridge Univ. Press Cambridge · Zbl 0602.20046 [2] Sehgal, S. K., Topics in Group Rings (1978), Dekker: Dekker New York · Zbl 0411.16004 [3] Suprunenko, D. A., Matrix Groups, Transl. Math. Monogr., vol. 45 (1976), Amer. Math. Soc.: Amer. Math. Soc. Providence, RI · Zbl 0317.20028 [4] Wehrfritz, B. A.F., Infinite Linear Groups (1973), Springer-Verlag: Springer-Verlag New York · Zbl 0261.20038 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.