Left 3-Engel elements in locally finite 2-groups
نویسندگان
چکیده
We give an infinite family of examples that generalize the construction given by Noce, Tracey and Traustason a locally finite 2-group G containing left 3-Engel element x where 〈x〉G, normal closure in G, is not nilpotent. The based on Lie algebras are interest their own right make use classical theorem Lucas, regarding when (mn) even.
منابع مشابه
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2021
ISSN: ['1532-4125', '0092-7872']
DOI: https://doi.org/10.1080/00927872.2021.1931265