搜索结果: 1-15 共查到“代数学 nilpotent”相关记录16条 . 查询时间(0.457 秒)
The space of bi-invariant orders on a nilpotent group
invariant order left-orderable group nilpotent group Group Theory
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2012/4/18
We prove a few basic facts about the space of bi-invariant (or left-invariant) total order relations on a torsion-free, nonabelian, nilpotent group G. For instance, we show that the space of bi-invari...
Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups
Residually nilpotent group entropy of automorphisms of groups pseudo-Anosov dilatation
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2011/9/15
Abstract: We study the word length entropy of automorphisms of residually nilpotent groups, and how the entropy of such group automorphisms relates to the entropy of induced automorphisms on various n...
Nilpotent Elements of Vertex Algebras
nilpotent element prime ideal vertex algebra
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2011/8/31
Abstract: Using the method of commutative algebra, we show that the set $\mathfrak{R}$ of nilpotent elements of a vertex algebra $V$ forms an ideal, and $V/\mathfrak{R}$ has no nonzero nilpotent eleme...
On Nilpotent Multipliers of Some Verbal Products of Groups
Nilpotent multiplier Verbal product Nilpotent product Cyclic group
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2011/1/19
The paper is devoted to finding a homomorphic image for the c-nilpotent multiplier of the verbal product of a family of groups with respect to a variety V when V ⊆ Nc or Nc ⊆ V. Also a str...
Some Inequalities for Nilpotent Multipliers of Finite Groups
Nilpotent multiplier Finite p-group Inequality
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2011/2/21
In this paper we present some inequalities for the order, the expo-nent and the number of generators of the c-nilpotent multiplier (the Baer invariant with respect to the variety of nilpotent groups o...
Classical Analysis and Nilpotent Lie Groups
Classical Analysis Nilpotent Lie Groups
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2011/1/19
Classical Fourier analysis has an exact counterpart in group theory and in some areas of geometry. Here I’ll describe how this goes for nilpotent Lie groups, for a class of Riemannian
manifolds close...
Six-dimensional nilpotent Lie algebras
Six-dimensional nilpotent Lie algebras
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2010/11/9
We give a full classification of 6-dimensional nilpotent Lie algebras over an arbitrary field, including fields that are not algebraically closed and fields of characteristic~2. To achieve the classi...
Distortion in Free Nilpotent Groups
Subgroup Distortion Free Nilpotent Group Membership Problem
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2010/12/6
We prove that a subgroup of a finitely generated free nilpotent group F is undistorted if and only if it is a retract of a subgroup of finite index in F.
The Dixmier map for nilpotent super Lie algebras
Dixmier map Kirillov orbit method Lie superalgebras representation theory
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2010/11/30
In this article we prove that there exists a Dixmier map for nilpotent super Lie algebras. In other words, if we denote by Prim(U(g)) the set of (graded) primitive ideals of the enveloping algebra U(g...
Finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras
Finite dimensional irreducible representations finite W-algebras associated classical Lie algebras
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2010/12/9
We consider finite W-algebras U(g, e) associated to even multiplicity nilpotent elements in classical Lie algebras. We give a classification of finite dimensional irreducible U(g, e)-modules with inte...
Classification of nilpotent associative algebras of small dimension
Classification nilpotent associative algebras small dimension
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2010/12/14
We describe a method for classifying nilpotent associative alge-bras, that is analogous to the Skjelbred-Sund method for classifying nilpotent Lie algebras (cf. [19], [8]). Subsequently we classify ni...
Fibonacci lengths of certain nilpotent 2-groups
Nilpotent groups Fibonacci length
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2007/12/10
In this paper, we study two classes of $2$-generated $2$-groups of nilpotency class $2$ classified by Kluempen in $2002$ and also a class of finite 2-groups of high nilpotency class for their Fibonacc...
Locally Nilpotent P-Groups Whose Proper Subgroups are NC-Groups
Locally Nilpotent NC-Groups P-Groups
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2010/3/5
Let G be a locally nilpotent p-group in which every proper subgroup is an NC-group. It is shown that G is itself an NC-group if either (i) the normal closure of every finite subgroup of G is a Chernik...
Locally Finite Barely Transitive Permutation Group with Almost Nilpotent Point Stabilizers
Transitive Permutation Group Nilpotent Point Stabilizers
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2010/3/5
We show that the groups mentioned in the title are solvable. Moreover, a point stabilizer H of the locally finite barely transitive group G is almost nilpotent, whenever the indices |H : H \cap Hg| (g...
Nv-P-Groups with Nilpotent Centralizers
Nv-P-Groups Nilpotent Centralizers
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2010/3/5
In this work a sufficient condition is given for an NC-p-group to have an epimorphic image which is an NF-p-group.