In this paper, it is shown that for d is an element of N, a minimal system (X, T) is a d-step pro-nilsystem if its enveloping semigroup is a d-step top-nilpotent group, answering an open question by Donoso. Thus, combining the previous result of Donoso, it turns out that a ...
A nilmanifold is a quotient of a nilpotent group $G$ by a co-compact discrete subgroup. A complex nilmanifold is one which is equipped with a $G$-invariant... ML Barberis,IG Dotti,M Verbitsky - 《Mathematical Research Letters》
A semigroup S is called collapsing if there exists a positive integer n such that for every subset of n elements in S at least two distinct words of length... Riley,M David - 《Communications in Algebra》 被引量: 8发表: 2001年 Lower bounds on dimensions of mod-p Hecke algebras: The...
Although these investigations were brought about by the study of groups, the only result concerning groups is that the adjoint group G of an infinite nil ring has an abelian subgroup A such that 2 A G.doi:10.1016/0021-8693(84)90147-9Vance Faber...
In this article we give an elementary proof, using standard arguments from algebraic number theory, of the fact that a nilmanifold modelled on a free c-step nilpotent Lie group on n generators admits an Anosov diffeomorphism if and only if n > c. In fact, we need to show that for any...
This completes the proof of Theorem 1. We notice that in =-=[16]-=- is shown the equivalence of conditions 6), 7) of theorem for arbitrary periodic locally nilpotent group. The multiplication group M of an arbitrary CML Q is locally nilpotent and if the CML Q is non-......
nilpotent congruenceE-minimal algebraweak centralitytwin groupWe develop a method of creating skew congruences on subpowers of finite algebras using groups of... EW Kiss,KA Kearnes - 《International Journal of Algebra & Computation》 被引量: 14发表: 2003年 ...
Nilpotent Lie groupnilmanifoldunitary representationstheta-functionsWe compute, using a device of A. Weil, an explicit decomposition of $L^2$ of a nil... J Brezin - 《Transactions of the American Mathematical Society》 被引量: 66发表: 1970年 ...
Let R be a ring, (S,≤) a strictly ordered monoid, and ω : S →End(R) a monoid homomorphism. The skew generalized power series ring R[[S,ω]] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (sk...
Let G be a group. Let wG be the verbal subgroup of G defined by a word w. Recall that the width wid(g,w) of g∈wG with respect to w is the least number l such that g is equal to a product of l values of w ±1 in G. For a subset M of wG, define wid(g,M) by max...