Algebraic commutators with respect to subnormal subgroups in division rings
Sign Up to like & getrecommendations! Published in 2020 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-020-01109-3
Abstract: Let $$D$$ D be a division ring and $$K$$ K a subfield of $$D$$ D which is not necessarily contained in the center $$F$$ F of $$D$$ D . We study the structure of $$D$$… read more here.
Keywords: subgroups division; algebraic commutators; division; commutators respect ... See more keywords
Maximal Subgroups of Almost Subnormal Subgroups in Division Rings
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DOI: 10.1007/s40306-021-00456-9
Abstract: In this paper, we investigate maximal subgroups of an almost subnormal subgroup G in a division ring D whose center is infinite. Among results, we prove that if M is such a maximal subgroup, then… read more here.
Keywords: almost subnormal; subgroups almost; subnormal subgroups; subgroups division ... See more keywords
Engel subnormal subgroups of skew linear groups
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DOI: 10.1016/j.laa.2018.08.020
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… read more here.
Keywords: engel subnormal; subgroups skew; linear groups; skew linear ... See more keywords