Results 1 to 10 of about 9,042,434 (209)

On the Mislin genus of certain circle bundles and noncancellation

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2000
In an earlier paper, the authors proved that a process described much earlier for passing from a finitely generated nilpotent group N of a certain kind to a nilpotent space X of finite type produced a bijection of Mislin genera 𝒢(N)≅𝒢(X).
Peter Hilton, Dirk Scevenels
doaj   +1 more source

Quiver theories and formulae for Slodowy slices of classical algebras

open access: yesNuclear Physics B, 2019
We utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra g.
Santiago Cabrera   +2 more
doaj   +1 more source

Action of Reflection Groups on Nilpotent Groups

open access: yesEuropean Journal of Combinatorics, 1997
Let \(G\) be a group generated by a set \(X\) of involutions, such that \(o(xy)\in\{1,2,3\}\) for all \(x,y\in X\). The diagram \(\Gamma\) of \(X\) is the graph on \(X\) with the property that \(x,y\in X\) are joined by an edge iff \(o(xy)=3\). If \(G\) acts on a group \(M\), then \(M\) is called a \((G,X)\)-group provided that \([x,M]\leq C_M(y)\) for
openaire   +3 more sources

Partially S-embedded minimal subgroups of finite groups [PDF]

open access: yesInternational Journal of Group Theory, 2013
Suppose that H is a subgroup of G, then H is said to be s-permutable in G, if H permutes with every Sylow subgroup of G. If HP=PH hold for every Sylow subgroup P of G with (|P|, |H|)=1), then H is called an s-semipermutable subgroup of G.
Tao Zhao, Qingliang Zhang
doaj  

Commutators associated with Schrödinger operators on the nilpotent Lie group

open access: yesJournal of Inequalities and Applications, 2017
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
doaj   +1 more source

A note on the normalizer of Sylow 2-subgroup of special linear group $SL_2(p^f)$ [PDF]

open access: yesInternational Journal of Group Theory, 2014
Let $G=SL_2(p^f)$ be a special linear group and $P$ be a Sylow $2$-subgroup of $G$, where $p$ is a prime and $f$ is a positive integer such that $p^f>3$. By $N_G(P)$ we denote the normalizer of $P$ in $G$.
Jiangtao Shi
doaj  

Controllability of affine control systems on graded Lie groups

open access: yesKuwait 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  

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

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

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