منابع مشابه
on the right n-engel group elements
in this paper we study right $n$-engel group elements. by modifying a group constructed by newman and nickel, we construct, for each integer $ngeq 5$, a 2-generator group $g =langle a, brangle$ with the property that $b$ is a right $n$-engel element but where $[b^k,_n a]$ is of infinite order when $knotin {0, 1}$.
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Recently there has been renewed interest among differential geometers in the theory of Engel structures. We introduce holomorphic analogues of these structures, and pose the problem of classifying projective manifolds admitting them. Besides providing the basic properties of these varieties, we present two series of examples and characterize them by certain positivity conditions on the Engel st...
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Let R be a commutative ring with unity of characteristic r≥0 and G be a locally finite group. For each x and y in the group ring RG define [x,y]=xy-yx and inductively via [x ,_( n+1) y]=[[x ,_( n) y] , y]. In this paper we show that necessary and sufficient conditions for RG to satisfies [x^m(x,y) ,_( n(x,y)) y]=0 is: 1) if r is a power of a prime p, then G is a locally nilpotent group an...
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ژورنال
عنوان ژورنال: Доклады Академии наук
سال: 2019
ISSN: 0869-5652
DOI: 10.31857/s0869-56524854395-398