Results 41 to 50 of about 11,845 (129)
Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
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The Genus of a Nilpotent R-Powered Group
, 2022 A dissertation submitted in fulfilment of the requirements for the degree of Master of Science to the Faculty of Science, University of the Witwatersrand, Johannesburg, 2022In [14], Mislin define the genus G(N) of a finitely generated nilpotent group N ...
Ginster, Carl
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Failure of stability of a maximal operator bound for perturbed Nevo–Thangavelu means
Mathematika, Volume 72, Issue 2, April 2026.Abstract Let G$G$ be a two‐step nilpotent Lie group, identified via the exponential map with the Lie‐algebra g=g1⊕g2$\mathfrak {g}=\mathfrak {g}_1\oplus \mathfrak {g}_2$, where [g,g]⊂g2$[\mathfrak {g},\mathfrak {g}]\subset \mathfrak {g}_2$. We consider maximal functions associated to spheres in a d$d$‐dimensional linear subspace H$H$, dilated by the ...
Jaehyeon Ryu, Andreas Seeger
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Group rings with FC-nilpotent unit groups [PDF]
, 1991 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, V. Bist
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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
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, 2004 In 1986, Kasymov introduced the concept of nilpotent $n$-Lie algebras, proved an analogue of Engel's Theorem and later proved an analog of Jacobson's refinement of Engel's Theorem. Despite these achievements, the subject of nilpotency in $n$-Lie algebras
Williams, Michael Peretzian
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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
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Nilpotent Decomposition in Integral Group Rings
, 2022 A finite group $G$ is said to have the nilpotent decomposition property (ND) if for every nilpotent element $\alpha$ of the integral group ring $\mathbb{Z}[G]$ one has that $\alpha e$ also belong to $\mathbb{Z}[G]$, for every primitive central idempotent
Jespers, Eric, Sun, Wei-Liang
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Group rings whose unitary units are nilpotent
, 2014 Let F be a field of characteristic different from 2 and G a group. Under the classical involution on the group ring FG, we show that if FG is modular, then the group of unitary units of FG is nilpotent if and only if the entire unit group is nilpotent ...
Gregory T. Lee +2 more
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Irreducible characters of groups associated with finite nilpotent algebras with involution
, 2010 An algebra group is a group of the form P=1+J where J is a finite-dimensional nilpotent associative algebra. A theorem of Z. Halasi asserts that, in the case where J is defined over a finite field F, every irreducible character of P is induced from a ...
Carlos A.M. André, André, Carlos A.M.
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