Results 41 to 50 of about 600 (183)

Simple groups with strong fixed‐point properties

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We exhibit finitely generated torsion‐free groups for which any action on any finite‐dimensional CW‐complex with finite Betti numbers has a global fixed point.
Nansen Petrosyan
wiley   +1 more source

Profinite direct sums with applications to profinite groups of type ΦR$\Phi _R$

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We show that the ‘profinite direct sum’ is a good notion of infinite direct sums for profinite modules, having properties similar to those of direct sums of abstract modules. For example, the profinite direct sum of projective modules is projective, and there is a Mackey's formula for profinite modules described using these sums.
Jiacheng Tang
wiley   +1 more source

Gorenstein cohomological dimension and stable categories for groups [PDF]

, 2022
Wei Ren
openalex   +1 more source

Abelian Livšic theorems for Anosov flows

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We give two short proofs of the abelian Livšic theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livšic theorems for positive density sets of null‐homologous orbits and for amenable covers.
Richard Sharp
wiley   +1 more source

K-Orbit closures and Hessenberg varieties

Forum of Mathematics, Sigma
This article explores the relationship between Hessenberg varieties associated with semisimple operators with two eigenvalues and orbit closures of a spherical subgroup of the general linear group.
Mahir Bilen Can, Martha Precup, John Shareshian, Özlem Uğurlu   +3 more
doaj   +1 more source

On Fico's Lemmata and the homotopy type of certain gyrations

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We undertake to determine the homotopy type of gyrations of sphere products and of connected sums, thereby generalising results known in earlier literature as ‘Fico's Lemmata’ which underpin gyrations in their original formulation from geometric topology.
Sebastian Chenery
wiley   +1 more source

b‐Filter Grade of an Ideal a for Triangulated Categories

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Let a and b be two homogeneous ideals in a graded‐commutative Noetherian ring R, and let X be an object in a compactly generated R‐linear triangulated category T. We introduce the notion of the b‐filter grade of a on X, denoted by f‐gradb,a,X, and provide several characterizations and bounds for this invariant. In addition, we explore the relationships
Li Wang, Hailong Yao, Caihui Lan, Xuexia Dai, Elena Guardo   +4 more
wiley   +1 more source

Homological dimension and Farrell cohomology

Journal of Algebra, 1984
\textit{F. T. Farrell} [J. Pure Appl. Algebra 10, 153--161 (1978; Zbl 0373.20050)] constructed a cohomology theory for groups of finite virtual cohomological dimension which generalizes the Tate cohomology theory of finite groups. In this very interesting paper the author extends Farrell cohomology to a class of groups larger than the class of groups ...
openaire   +2 more sources

Combination of open covers with π1$\pi _1$‐constraints

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3886-3901, December 2025.
Abstract Let G$G$ be a group and let F$\mathcal {F}$ be a family of subgroups of G$G$. The generalised Lusternik–Schnirelmann category catF(G)$\operatorname{cat}_\mathcal {F}(G)$ is the minimal cardinality of covers of BG$BG$ by open subsets with fundamental group in F$\mathcal {F}$.
Pietro Capovilla, Kevin Li, Clara Löh
wiley   +1 more source

Model category structures on truncated multicomplexes for complex geometry

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4163-4177, December 2025.
Abstract To a bicomplex one can associate two natural filtrations, the column and row filtrations, and then two associated spectral sequences. This can be generalized to N$N$‐multicomplexes. We present a family of model category structures on the category of N$N$‐multicomplexes where the weak equivalences are the morphisms inducing a quasi‐isomorphism ...
Joana Cirici, Muriel Livernet, Sarah Whitehouse   +2 more
wiley   +1 more source