Results 101 to 110 of about 5,645,781 (209)
Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]
Don S, Magnani V.
europepmc +1 more source
Solvable Lie A-algebras. [PDF]
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
Characterizations of \(p\)-nilpotent groups
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
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
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Approximate subgroups of residually nilpotent groups. [PDF]
Tointon MCH.
europepmc +1 more source
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
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
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Finite Sets with Large Algebraic Closures in Nilpotent Groups
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]
Le Donne E, Morbidelli D, Rigot S.
europepmc +1 more source

