Results 71 to 80 of about 40,826 (196)
Cohomological Finiteness Conditions in Bredon Cohomology
, 2009 We show that any soluble group $G$ of type Bredon-$\FP_{\infty}$ with respect to the family of all virtually cyclic subgroups such that centralizers of infinite order elements are of type $\FP_{\infty}$ must be virtually cyclic.
Kochloukova, D. H. +2 more
core +2 more sources
On prime rings with commuting nilpotent elements [PDF]
Proceedings of the American Mathematical Society, 2009 An open question of Herstein asks whether a simple ring in which all nilpotent elements commute must have no nonzero nilpotent elements. The authors, addressing this question in the context of prime rings, show that a prime ring \(R\) with commuting nilpotent elements has no nonzero nilpotent elements if it satisfies one of the following conditions: (i)
Chebotar, M. A. +2 more
openaire +2 more sources
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 +8 more
wiley +1 more source
Solvable Lie algebras with Borel nilradicals
, 2012 The present article is part of a research program the aim of which is to find all indecomposable solvable extensions of a given class of nilpotent Lie algebras.
Snobl, Libor, Winternitz, Pavel
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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
Principal Nilpotent pairs in a semisimple Lie algebra, I
, 1999 This is the first of a series of papers devoted to certain pairs of commuting nilpotent elements in a semisimple Lie algebra that enjoy quite remarkable properties and which are expected to play a major role in Representation theory.
Ginzburg, Victor
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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
Refined Dynkin Data for Nilpotent Elements
Advances in Mathematics, 1994 For a complex semisimple Lie group \(G\), whose Lie algebra \(\mathfrak g\) acts by vector fields on the flag variety \({\mathcal B} (G/B)\), the class \(\text{cl}_B(x)\) (Cartan algebra of \(\mathfrak g\)) of nilpotent elements \(x \in \mathfrak g\) with respect to the Borel subgroup \(B \in {\mathcal B}\) in \(G\) is defined and studied in detail ...
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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
Force and Shape Control Strategies for Minimum Energy Adaptive Structures
Frontiers in Built Environment, 2020 This work presents force and shape control strategies for adaptive structures subjected to quasi-static loading. The adaptive structures are designed using an integrated structure-control optimization method developed in previous work, which produces ...
Gennaro Senatore, Arka P. Reksowardojo
doaj +1 more source