Results 41 to 50 of about 19,998 (174)

Some nilpotent and locally nilpotent matrix groups

Journal of Pure and Applied Algebra, 1989
The task of the paper under review is a detailed discussion of nilpotent and locally nilpotent matrix groups over ``special'' division rings. The notion of a ``special'' division ring is introduced by the author and denotes a division ring D with the following property: For every finite subset X of D and every finite subset Y of the subring R of D ...
openaire   +1 more source

On the topological ranks of Banach ∗$^*$‐algebras associated with groups of subexponential growth

Bulletin of the London Mathematical Society, Volume 58, Issue 2, February 2026.
Abstract Let G$G$ be a group of subexponential growth and C→qG$\mathcal C\overset{q}{\rightarrow }G$ a Fell bundle. We show that any Banach ∗$^*$‐algebra that sits between the associated ℓ1$\ell ^1$‐algebra ℓ1(G|C)$\ell ^1(G\,\vert \,\mathcal C)$ and its C∗$C^*$‐envelope has the same topological stable rank and real rank as ℓ1(G|C)$\ell ^1(G\,\vert ...
Felipe I. Flores
wiley   +1 more source

Quantum GraviElectro Dynamics

Annalen der Physik, Volume 538, Issue 1, January 2026.
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley   +1 more source

Representations of nilpotent locally compact groups

Journal of Functional Analysis, 1979
Abstract The main result of this paper is that if all the σ-representations of a separable locally compact nilpotent group are type I, then all the irreducible σ-representations are (up to equivalence) induced from one-dimensional σ-representations. This generalizes a result of Kirillov for simply connected nilpotent Lie groups.
openaire   +2 more sources

Residually rationally solvable one‐relator groups

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We show that the intersection of the rational derived series of a one‐relator group is rationally perfect and is normally generated by a single element. As a corollary, we characterise precisely when a one‐relator group is residually rationally solvable.
Marco Linton
wiley   +1 more source

Equivariant v1,0⃗$v_{1,\vec{0}}$‐self maps

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Let G$G$ be a cyclic p$p$‐group or generalized quaternion group, X∈π0SG$X\in \pi _0 S_G$ be a virtual G$G$‐set, and V$V$ be a fixed point free complex G$G$‐representation. Under conditions depending on the sizes of G$G$, X$X$, and V$V$, we construct a self map v:ΣVC(X)(p)→C(X)(p)$v\colon \Sigma ^V C(X)_{(p)}\rightarrow C(X)_{(p)}$ on the ...
William Balderrama, Yueshi Hou, Shangjie Zhang   +2 more
wiley   +1 more source

Locally finite profinite rings

, 2013
We investigate the structure of locally finite profinite rings. We classify (Jacobson-) semisimple locally finite profinite rings as products of complete matrix rings of bounded cardinality over finite fields, and we prove that the Jacobson radical of ...
Dobrowolski, Jan, Krupiński, Krzysztof
core   +1 more source

Nilpotence and local nilpotence of linear groups

Linear Algebra and its Applications, 1976
AbstractLet GL(n,F) denote the general linear group over a commutative field F. It is well known that locally solvable subgroups of GL(n,F) are always solvable, but in general locally nilpotent subgroups need not always be nilpotent. The object of the present paper is to clarify this situation. For each odd prime p, let Fp be a splitting field for Xp −
openaire   +1 more source

Coxeter's enumeration of Coxeter groups

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley   +1 more source

Ricci Bi‐Conformal and m‐Modified Conformal Vector Fields: A Study With Respect to the Riemannian Extension Metric

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article explores the necessary and sufficient conditions for a vector field on the cotangent bundle of a Riemannian manifold to qualify as an m− modified conformal vector field or a Ricci bi‐conformal vector field. The analysis employs an adapted frame and concerns the Riemannian extension metric.
Lokman Bilen, Aydin Gezer, Cagri Karaman, Pramita Mishra   +3 more
wiley   +1 more source