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Conjugacy in nilpotent groups [PDF]
1. Statement of the theorem. The aim of the present note is to investigate possible generalizations of the well-known fact that if a is a nonidentity element of a finitely-generated nilpotent group G, there exists an epimorphism 4 of G onto a finite group such that acu P 1. The generalization that we consider is the following.
Norman Blackburn
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Quiver theories and formulae for nilpotent orbits of Exceptional algebras
We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the highest weight generating functions for their representation content.
Amihay Hanany, Rudolph Kalveks
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Ricci-flat and Einstein pseudoriemannian nilmanifolds
This is partly an expository paper, where the authors’ work on pseudoriemannian Einstein metrics on nilpotent Lie groups is reviewed. A new criterion is given for the existence of a diagonal Einstein metric on a nice nilpotent Lie group.
Conti Diego, Rossi Federico A.
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On n-Nilpotent Groups and n-Nilpotency of n-Abelian Groups [PDF]
The concept of n-nilpotent groups was introduced by Moghaddam and Mashayekhy in 1991 which is in a way a generalized version of the notion of nilpotent groups.
Azam Pourmirzaei, Yaser Shakourie
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Commutators associated with Schrödinger operators on the nilpotent Lie group [PDF]
Assume that G is a nilpotent Lie group. Denote by L = − Δ + W $L=-\Delta +W $ the Schrödinger operator on G, where Δ is the sub-Laplacian, the nonnegative potential W belongs to the reverse Hölder class B q 1 $B_{q_{1}}$ for some q 1 ≥ D 2 $q_{1} \geq ...
Tianzhen Ni, Yu Liu
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A theorem of nilpotent groups [PDF]
Chong-Yun Chao
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On the anticenter of nilpotent groups [PDF]
Wolfgang P. Kappe
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Group nilpotency from a graph point of view [PDF]
Let $\Gamma_G$ denote a graph associated with a group $G$. A compelling question about finite groups asks whether or not a finite group $H$ must be nilpotent provided $\Gamma_H$ is isomorphic to $\Gamma_G$ for a finite nilpotent group $G$. In the present
Valentina Grazian+2 more
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A nilpotent Lie algebra with nilpotent automorphism group [PDF]
Joan L. Dyer
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