Results 61 to 70 of about 18,721 (178)

Groups with conjugacy classes of coprime sizes

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract Suppose that x$x$, y$y$ are elements of a finite group G$G$ lying in conjugacy classes of coprime sizes. We prove that ⟨xG⟩∩⟨yG⟩$\langle x^G \rangle \cap \langle y^G \rangle$ is an abelian normal subgroup of G$G$ and, as a consequence, that if x$x$ and y$y$ are π$\pi$‐regular elements for some set of primes π$\pi$, then xGyG$x^G y^G$ is a π ...
R. D. Camina, A. Maróti, E. Pacifici, C. Parker, K. Rekvényi, J. Saunders, V. Sotomayor, G. Tracey, M. van Beek   +8 more
wiley   +1 more source

Monodromic Nilpotent Singular Points with Odd Andreev Number and the Center Problem

Qualitative Theory of Dynamical Systems, 2022
Given a nilpotent singular point of a planar vector field, its monodromy is associated with its Andreev number $n$. The parity of $n$ determines whether the existence of an inverse integrating factor implies that the singular point is a nilpotent center. For $n$ odd, this is not always true.
Claudio Pessoa, Lucas Queiroz
openaire   +4 more sources

Linear Diophantine equations and conjugator length in 2‐step nilpotent groups

Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.
Abstract We establish upper bounds on the lengths of minimal conjugators in 2‐step nilpotent groups. These bounds exploit the existence of small integral solutions to systems of linear Diophantine equations. We prove that in some cases these bounds are sharp.
M. R. Bridson, T. R. Riley
wiley   +1 more source

Commutativity and structure of rings with commuting nilpotents

International Journal of Mathematics and Mathematical Sciences, 1983
Let R be a ring and let N denote the set of nilpotent elements of R. Let Z denote the center of R. Suppose that (i) N is commutative, (ii) for every x in R there exists x′ϵ such that x−x2x′ϵN, where denotes the subring generated by x, (iii) for every x ...
Hazar Abu-Khuzam, Adil Yaqub
doaj   +1 more source

Leibniz algebras: a brief review of current results

Karpatsʹkì Matematičnì Publìkacìï, 2019
Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[\cdot,\cdot]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity $[[a,b],c]=[a,[b,c]]-[b,[a, c]]$ for all $a,b,c\in L$.
V.A. Chupordia, A.A. Pypka, N.N. Semko, V.S. Yashchuk   +3 more
doaj   +1 more source

Generalisations of Capparelli's and Primc's identities, II: Perfect An−1(1)$A_{n-1}^{(1)}$ crystals and explicit character formulae

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In the first paper of this series, we gave infinite families of coloured partition identities which generalise Primc's and Capparelli's classical identities. In this second paper, we study the representation theoretic consequences of our combinatorial results.
Jehanne Dousse, Isaac Konan
wiley   +1 more source

The Solution of the Extended 16th Hilbert Problem for Some Classes of Piecewise Differential Systems

Mathematics
The limit cycles have a main role in understanding the dynamics of planar differential systems, but their study is generally challenging. In the last few years, there has been a growing interest in researching the limit cycles of certain classes of ...
Louiza Baymout, Rebiha Benterki, Jaume Llibre   +2 more
doaj   +1 more source

Connected components of the space of flags of SO0(p,q)$\operatorname{SO}_0(p,q)$ transverse to a fixed pair and restrictions on Anosov subgroups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We count and give a parametrization of connected components in the space of flags transverse to a given transverse pair in every flag varieties of SO0(p,q)$\operatorname{SO}_0(p,q)$. We compute the effect the involution of the unipotent radical has on those components and, using methods of Dey–Greenberg–Riestenberg, we show that for certain ...
Clarence Kineider, Roméo Troubat
wiley   +1 more source

A vertex algebra attached to the flag manifold and Lie algebra cohomology

, 2009
Each flag manifold carries a unique algebra of chiral differential operators. Continuing along the lines of arXiv:0903.1281 we compute the vertex algebra structure on the cohomology of this algebra.
Arakawa, T., Malikov, F.
core   +1 more source

Centers of centralizers of nilpotent elements in exceptional Lie superalgebras

Journal of Algebra and Its Applications, 2021
Let [Formula: see text] be a finite-dimensional simple Lie superalgebra of type [Formula: see text], [Formula: see text] or [Formula: see text] over [Formula: see text]. Let [Formula: see text] be the simply connected semisimple algebraic group over [Formula: see text] such that [Formula: see text]. Suppose [Formula: see text] is nilpotent.
openaire   +3 more sources