Results 101 to 110 of about 5,645,781 (209)

Solvable Lie A-algebras. [PDF]

open access: yes, 2011
A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A.
core   +1 more source

Nilpotent Groups

open access: yes, 2015
Summary.
Xiquan Liang, Yanhong Men, Dailu Li
core  

Characterizations of \(p\)-nilpotent groups

open access: yesOsaka Journal of Mathematics, 1994
Let \(G\) be a finite group and let \(p\) be a prime. The results in this paper are mainly concerned with characters of height 0 in the principal \(p\)-block and with implications for the \(p\)-nilpotency of \(G\). For example it is shown that \(G\) is \(p\)-nilpotent if and only if every character of height 0 in the principal block is modularly ...
openaire   +4 more sources

Discrete Cocompact Subgroups of the Five-Dimensional Connected and Simply Connected Nilpotent Lie Groups

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2009
The discrete cocompact subgroups of the five-dimensional connected, simply connected nilpotent Lie groups are determined up to isomorphism. Moreover, we prove if G = N × A is a connected, simply connected, nilpotent Lie group with an Abelian factor A ...
Amira Ghorbel, Hatem Hamrouni
doaj   +1 more source

Nilpotent N-Lie Algebras

open access: yes, 2004
In 1986, Kasymov introduced the concept of nilpotent $n$-Lie algebras, proved an analogue of Engel's Theorem and later proved an analog of Jacobson's refinement of Engel's Theorem. Despite these achievements, the subject of nilpotency in $n$-Lie algebras
Williams, Michael Peretzian
core  

Knapsack problem for nilpotent groups

open access: yes, 2017
In this work we investigate the group version of the well known knapsack problem in the class of nilpotent groups. The main result of this paper is that the knapsack problem is undecidable for any torsion-free group of nilpotency class 2 if the rank of ...
Alexei Mishchenko, Alexander Treier
core   +1 more source

Finite Sets with Large Algebraic Closures in Nilpotent Groups

open access: yesSultan Qaboos University Journal for Science
Algebraic sets play a central role in algebraic geometry over groups; by definition, an algebraic set is the set of common roots of a collection of equations in some non-commuting variables x1, ..., xn having coefficients in some group G.
Omar Al Raisi, Mohammad Shahryari
doaj   +1 more source

Horizontally Affine Functions on Step-2 Carnot Algebras. [PDF]

open access: yesJ Geom Anal, 2023
Le Donne E, Morbidelli D, Rigot S.
europepmc   +1 more source

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