Results 101 to 110 of about 12,500,002 (282)
The Picard group in equivariant homotopy theory via stable module categories
Journal of Topology, Volume 18, Issue 2, June 2025.Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley +1 more source
Cohomology-Developed Matrices -- constructing families of weighing matrices and automorphism actions
, 2020 The aim of this work is to construct families of weighing matrices via their automorphism group action. This action is determined from the $0,1,2$-cohomology groups of the underlying abstract group. As a consequence, some old and new families of weighing
Goldberger, Assaf
core
The BIC of a singular foliation defined by an abelian group of isometries
, 2005 We study the cohomology properties of the singular foliation $\F$ determined by an action $\Phi \colon G \times M\to M$ where the abelian Lie group $G$ preserves a riemannian metric on the compact manifold $M$.
Saralegi-Aranguren, M., Wolak, R.
core +3 more sources
Group Extensions and Cohomology Groups
Journal of Algebra, 1993 AbstractLet q ≥ 2 be an integer and let G be a finite group which is assumed to have odd order if q ≥ 3. We show that there is a finite group extension G̃ of G with abelian kernel. G̃ depending on q, such that the inflation map inf: Hq(G, Q/Z) → Hq(G̃, Q/Z) is trivial. For q = 2 our construction yields a representation group G̃ for G in the sense of I.
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COHOMOLOGY OF KLEINIAN GROUPS [PDF]
Proceedings of the National Academy of Sciences, 1969 Let [unk] be a (nonelementary) Kleinian group and q ≥ 2 an integer. The group [unk] acts in a natural way on the vector space II 2 q —2 of complex polynomials in one variable of degree ≤ 2 q — 2. One can thus form
openaire +3 more sources
A characterization of some finite simple groups by their character codegrees
Mathematische Nachrichten, Volume 298, Issue 4, Page 1356-1369, April 2025.Abstract Let G$G$ be a finite group and let χ$\chi$ be a complex irreducible character of G$G$. The codegree of χ$\chi$ is defined by cod(χ)=|G:ker(χ)|/χ(1)$\textrm {cod}(\chi)=|G:\textrm {ker}(\chi)|/\chi (1)$, where ker(χ)$\textrm {ker}(\chi)$ is the kernel of χ$\chi$.
Hung P. Tong‐Viet
wiley +1 more source
On a conjecture on aCM and Ulrich sheaves on degeneracy loci
Mathematische Nachrichten, Volume 298, Issue 4, Page 1148-1166, April 2025.Abstract In this paper, we address a conjecture by Kleppe and Miró‐Roig stating that suitable twists by line bundles (on the smooth locus) of the exterior powers of the normal sheaf of a standard determinantal locus are arithmetically Cohen–Macaulay, and even Ulrich when the locus is linear determinantal.
Vladimiro Benedetti, Fabio Tanturri
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Duality for $K$-analytic Group Cohomology of $p$-adic Lie Groups
Comptes Rendus. Mathématique, 2022 We prove a duality result for the analytic cohomology of Lie groups over non-archimedean fields acting on locally convex vector spaces by combining Tamme’s non-archimedean van Est comparison morphism with Hazewinkel’s duality result for Lie algebra ...
Thomas, Oliver
doaj +1 more source
Globalization of partial cohomology of groups
Transactions of the American Mathematical Society, 2020 We study the relations between partial and global group cohomology with values in a commutative unital ring A \mathcal {A} . In particular, for a unital partial action of a group G G on A \mathcal {A} , such that A \mathcal {A} is a direct product ...
Mikhailo Dokuchaev +2 more
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Webb's conjecture and generalised Harish‐Chandra theory
Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1083-1092, April 2025.Abstract Webb's conjecture states that the orbit space of the Brown complex of a finite group at any given prime ℓ$\ell$ is contractible. This conjecture was proved by Symonds in 1998. In this paper, we suggest a generalisation of Webb's conjecture for finite reductive groups.
Damiano Rossi
wiley +1 more source