Results 31 to 40 of about 9,042,434 (209)
Endomorphism kernel property for finite groups [PDF]
Mathematica Bohemica, 2022 A group $G$ has the endomorphism kernel property (EKP) if every congruence relation $\theta$ on $G$ is the kernel of an endomorphism on $G$. In this note we show that all finite abelian groups have EKP and we show infinite series of finite non-abelian ...
Heghine Ghumashyan, Jaroslav Guričan
doaj +1 more source
Nilpotent subspaces of maximal dimension in semisimple Lie algebras [PDF]
, 2006 We show that a linear subspace of a reductive Lie algebra g that consists of nilpotent elements has dimension at most equal to the number of positive roots, and that any nilpotent subspace attaining this upper bound is equal to the nilradical of a Borel ...
Kuttler, J +8 more
core +1 more source
Computing nilpotent quotients in finitely presented Lie rings [PDF]
Discrete Mathematics & Theoretical Computer Science, 1997 A nilpotent quotient algorithm for finitely presented Lie rings over Z (and Q) is described. The paper studies the graded and non-graded cases separately.
Csaba Schneider
doaj +2 more sources
The Electronic Journal of Combinatorics, 2006 Let $N$ be a nilpotent group normal in a group $G$. Suppose that $G$ acts transitively upon the points of a finite non-Desarguesian projective plane ${\cal P}$. We prove that, if ${\cal P}$ has square order, then $N$ must act semi-regularly on ${\cal P}$.
openaire +5 more sources
From Groups to Leibniz Algebras: Common Approaches, Parallel Results [PDF]
Advances in Group Theory and Applications, 2018 In this article, we study (locally) nilpotent and hyper-central Leibniz algebras. We obtained results similar to those in group theory. For instance, we proved a result analogous to the Hirsch-Plotkin Theorem for locally nilpotent groups.
L.A. Kurdachenko +2 more
doaj +1 more source
On the permutability of Sylow subgroups with derived subgroups of B-subgroups
Журнал Белорусского государственного университета: Математика, информатика, 2019 A finite non-nilpotent group G is called a B-group if every proper subgroup of the quotient group G/Φ(G) is nilpotent. We establish the r-solvability of the group in which some Sylow r-subgroup permutes with the derived subgroups of 2-nilpotent (or 2 ...
Ekaterina V. Zubei
doaj +1 more source
Proceedings - Mathematical Sciences, 2014 Let \(G\) be a group, let \(A=\Aut(G)\) and consider the descending series \(G,K_1(G),K_2(G),\dots,K_m(G),\ldots\), where \(K_m(G)=[K_{m-1}(G), A]\). Whenever \(K_m=1\) for some positive integer \(m\), the authors call \(G\) an \(A\)-nilpotent group. It is clear that if \(G\) is \(A\)-nilpotent, then \(A\) is nilpotent, being the stability group of the
Nasrabadi, Mohammad Mehdi +1 more
openaire +2 more sources
On almost finitely generated nilpotent groups
International Journal of Mathematics and Mathematical Sciences, 1996 A nilpotent group G is fgp if Gp, is finitely generated (fg) as a p-local group for all primes p; it is fg-like if there exists a nilpotent fg group H such that Gp≃Hp for all primes p.
Peter Hilton, Robert Militello
doaj +1 more source
On some groups whose subnormal subgroups are contranormal-free [PDF]
International Journal of Group TheoryIf $G$ is a group, a subgroup $H$ of $G$ is said to be contranormal in $G$ if $H^G = G$, where $H^G$ is the normal closure of $H$ in $G$. We say that a group is contranormal-free if it does not contain proper contranormal subgroups.
Leonid Kurdachenko +2 more
doaj +1 more source
Quiver theories and formulae for nilpotent orbits of Exceptional algebras
Journal of High Energy Physics, 2017 We treat the topic of the closures of the nilpotent orbits of the Lie algebras of Exceptional groups through their descriptions as moduli spaces, in terms of Hilbert series and the highest weight generating functions for their representation content.
Amihay Hanany, Rudolph Kalveks
doaj +1 more source