Results 101 to 110 of about 9,591,284 (211)

Group rings with FC-nilpotent unit groups

, 2021
Let U(RG) be the unit group of the group ring RG. Groups G such that U(RG) is FC-nilpotent are determined, where R is the ring of integers Z or a field K of characteristic ...
Bist, Vikas
core  

The Schur multiplier of a nilpotent group

, 1985
In this paper we obtain upper and lower bounds for the rank of the Schur multiplier of a nilpotent group in terms of the nilpotency class and the number of generators and rank of the derived quotient.
Ursula Martin Webb
core   +1 more source

Controllability of affine control systems on graded Lie groups

Kuwait Journal of Science, 2015
This paper is concerned with an affine control system on a manifold which is equivalentby diffeomorphism to an invariant system on a free nilpotent Lie group, if and only if,the vector fields of the system generate graded Lie algebra and the vector ...
MEMET KULE
doaj  

p-Nilpotent fusion systems

, 2018
Let [Formula: see text] be a prime and let [Formula: see text] be a saturated fusion system over a finite [Formula: see text]-group [Formula: see text]. A fusion system [Formula: see text] is said to be nilpotent if [Formula: see text].
Zhencai Shen
core   +1 more source

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

Symmetry, 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

Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]

Calc Var Partial Differ Equ, 2023
Don S, Magnani V.
europepmc   +1 more source

On the Nilpotent Graph of a finite Group [PDF]

If G is a non-nilpotent group and nil(G) = {g \in G : is nilpotent for all h\in G}, the nilpotent graph of G is the graph with set of vertices G-nil(G) in which two distinct vertices are related if they generate a nilpotent subgroup of G.
Garcia-Claro, E. J., Torres, Jaime, Gutierrez, Ismael   +2 more
core   +1 more source

Characterizations of \(p\)-nilpotent groups

Osaka 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

M-theory and T-geometry: Higgs branch moduli and charged matter

Journal of High Energy Physics
M-theory geometric engineering on manifolds of special holonomy yields a rich class of novel field theories. In this paper, we construct new 3d 𝒩 = 2* and 𝒩 = 4* gauge theories, realized as mass-deformations of theories with 16 supercharges, within this ...
Marwan Najjar
doaj   +1 more source

Nilpotent Groups

, 2015
Summary.
Xiquan Liang, Yanhong Men, Dailu Li
core