Results 51 to 60 of about 24,212 (190)
The coarse classification of countable abelian groups [PDF]
, 2008 We prove that two countable locally finite-by-abelian groups G,H endowed with proper left-invariant metrics are coarsely equivalent if and only if their asymptotic dimensions coincide and the groups are either both finitely-generated or both are ...
Banakh, T., Higes, J., Zarichinyy, I.
core
Indicability, residual finiteness, and simple subquotients of groups acting on trees
, 2017 We establish three independent results on groups acting on trees. The first implies that a compactly generated locally compact group which acts continuously on a locally finite tree with nilpotent local action and no global fixed point is virtually ...
Caprace, Pierre-Emmanuel +1 more
core +1 more source
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
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 +2 more
wiley +1 more source
Boundedness of Littlewood-Paley Operators Associated with Gauss Measures
Journal of Inequalities and Applications, 2010 Modeled on the Gauss measure, the authors introduce the locally doubling measure metric space (𝒳,d,μ)ρ, which means that the set 𝒳 is endowed with a metric d and a locally doubling regular Borel measure μ ...
Liguang Liu, Dachun Yang
doaj +2 more sources
Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups
, 2010 In this work we investigate solvable and nilpotent Lie groups with special metrics. The metrics of interest are left-invariant Einstein and algebraic Ricci soliton metrics.
Alekseevskiĭ +15 more
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
Certain locally nilpotent varieties of groups [PDF]
Bulletin of the Australian Mathematical Society, 2003 Let c ≥ 0, d ≥ 2 be integers and be the variety of groups in which every d-generator subgroup is nilpotent of class at most c. N.D. Gupta asked for what values of c and d is it true that is locally nilpotent? We prove that if c ≤ 2d + 2d−1 − 3 then the variety is locally nilpotent and we reduce the question of Gupta about the periodic groups in to ...
openaire +2 more sources
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