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Engel subnormal subgroups of skew linear groups

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Abstract Let D be a division ring with uncountable center and n a natural number. In this article we show that every Engel subnormal subgroup of GL n ( D… Click to show full abstract

Abstract Let D be a division ring with uncountable center and n a natural number. In this article we show that every Engel subnormal subgroup of GL n ( D ) is central. This affirmatively answered a question posed in Ramezan-Nassab and Kiani (2012) [8] , in the uncountable center case.

Keywords: engel subnormal; subgroups skew; linear groups; skew linear; subnormal subgroups

Journal Title: Linear Algebra and its Applications
Year Published: 2018

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