Results 51 to 60 of about 19,998 (174)

On the nilpotency of locally pro-$p$ contraction groups

Comptes Rendus. Mathématique
H. Glöckner and G. A. Willis have recently shown [2] that locally pro-$p$ contraction groups are nilpotent. The proof hinges on a fixed point result [2, Theorem B]: if the local field $\mathbb{F}_{p}(\!(t)\!)$ acts on its $d$-th power $\mathbb{F}_{p ...
Beaumont, Alonso
doaj   +1 more source

GL‐algebras in positive characteristic II: The polynomial ring

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley   +1 more source

Intrinsic regular surfaces in Carnot groups

Bruno Pini Mathematical Analysis Seminar
A Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces.
Daniela Di Donato
doaj   +1 more source

Residually finite subgroups of locally nilpotent groups

Journal of Algebra, 2008
Recall that the isolator of a subgroup \(U\) in a group \(G\) is the set of all elements \(x\) with the property \(x^n\in U\) for some natural number \(n\). It was proven in the article [\textit{M. R. Dixon, M. J. Evans} and \textit{H. Smith}, J. Group Theory 9, No.
Dixon, Martyn R., Evans, Martin J., Smith, Howard   +2 more
openaire   +2 more sources

Real models for the framed little n$n$‐disks operads

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We study the action of the orthogonal group on the little n$n$‐disks operads. As an application we provide small models (over the reals) for the framed little n$n$‐disks operads. It follows in particular that the framed little n$n$‐disks operads are formal (over the reals) for n$n$ even and coformal for all n$n$.
Anton Khoroshkin, Thomas Willwacher
wiley   +1 more source

Group Rings Satisfying Generalized Engel Conditions

پژوهش‌های ریاضی, 2020
Let R be a commutative ring with unity of characteristic r≥0 and G be a locally finite group. For each x and y in the group ring RG define [x,y]=xy-yx and inductively via [x ,_( n+1)  y]=[[x ,_( n)  y]  , y].
Mojtaba Ramezan-Nassab
doaj  

Existence and orthogonality of stable envelopes for bow varieties

Bulletin of the London Mathematical Society, Volume 57, Issue 11, Page 3249-3306, November 2025.
Abstract Stable envelopes, introduced by Maulik and Okounkov, provide a family of bases for the equivariant cohomology of symplectic resolutions. They are part of a fascinating interplay between geometry, combinatorics and integrable systems. In this expository article, we give a self‐contained introduction to cohomological stable envelopes of type A$A$
Catharina Stroppel, Till Wehrhan
wiley   +1 more source

Weakly special threefolds and nondensity of rational points

Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.
Abstract We verify part of a conjecture of Campana predicting that rational points on the weakly special nonspecial simply connected smooth projective threefolds constructed by Bogomolov–Tschinkel are not dense. To prove our result, we establish fundamental properties of moduli spaces of orbifold maps, and prove a dimension bound for such moduli spaces
Finn Bartsch, Ariyan Javanpeykar, Erwan Rousseau   +2 more
wiley   +1 more source

Locally nilpotent 4-Engel groups are Fitting groups

Journal of Algebra, 2003
A group \(G\) is a Fitting group of degree \(n\) if all normal closures of elements of \(G\) are nilpotent of class at most \(n\). The author proves that locally nilpotent 4-Engel groups are Fitting groups of degree at most 4; if there are no elements of order 2 or 5, the Fitting degree is bounded by 3 (Theorem 6.8).
openaire   +2 more sources

Residually nilpotent groups of homological dimension 1

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3223-3232, October 2025.
Abstract If p$p$ is a prime number, then any free group is residually a finite p$p$‐group and has homological dimension 1. As a partial converse of this assertion, in this paper we show that any finitely generated group of homological dimension 1, which is residually a finite p$p$‐group, is free.
Ioannis Emmanouil
wiley   +1 more source