Results 91 to 100 of about 176,865 (291)

The essential ideal is a Cohen-Macaulay module

, 2004
Let G be a finite p-group which does not contain a rank two elementary abelian p-group as a direct factor. Then the ideal of essential classes in the mod-p cohomology ring of G is a Cohen-Macaulay module whose Krull dimension is the p-rank of the centre ...
Green, David J.
core   +3 more sources

A note on the cohomology of moduli spaces of local shtukas

Bulletin of the London Mathematical Society, EarlyView.
Abstract We study localized versions of spectral action of Fargues–Scholze, using methods from higher algebra. As our main motivation and application, we deduce a formula for the cohomology of moduli spaces of local shtukas under certain genericity assumptions, and discuss its relation with the Kottwitz conjecture.
David Hansen, Christian Johansson
wiley   +1 more source

On stabilizers in finite permutation groups

Bulletin of the London Mathematical Society, EarlyView.
Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
wiley   +1 more source

The log Grothendieck ring of varieties

Bulletin of the London Mathematical Society, EarlyView.
Abstract We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class “P$P$” over the usual Grothendieck ring. We show the naïve definition of log Hodge numbers does not make sense for all log schemes. We offer an alternative that does.
Andreas Gross, Leo Herr, David Holmes, Pim Spelier, Jesse Vogel   +4 more
wiley   +1 more source

Flag-transitive non-symmetric 2-designs with λ prime and exceptional groups of Lie type

AIMS Mathematics
This paper contributes to the classification of flag-transitive 2-$ (v, k, \lambda) $ designs. Let $ \mathcal{D} $ be a non-trivial and non-symmetric $ 2 $-$ (v, k, \lambda) $ design with $ \lambda $ prime and $ G $ be a flag-transitive point-primitive ...
Yongli Zhang , Jiaxin Shen
doaj   +1 more source

A categorical interpretation of continuous orbit equivalence for partial dynamical systems

Bulletin of the London Mathematical Society, EarlyView.
Abstract We define the orbit morphism of partial dynamical systems and prove that an orbit morphism being an isomorphism in the category of partial dynamical systems and orbit morphisms is equivalent to the existence of a continuous orbit equivalence between the given partial dynamical systems that preserves the essential stabilisers. We show that this
Gilles G. de Castro, Eun Ji Kang
wiley   +1 more source

On the existence of zero-sum subsequences of distinct lengths

, 2012
In this paper, we obtain a characterization of short normal sequences over a finite Abelian p-group, thus answering positively a conjecture of Gao for a variety of such groups.
Girard, Benjamin
core   +2 more sources

Residually rationally solvable one‐relator groups

Bulletin of the London Mathematical Society, EarlyView.
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

Cohomotopy sets of (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifolds for small n$n$

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract Let M$M$ be a closed orientable (n−1)$(n-1)$‐connected (2n+2)$(2n+2)$‐manifold, n⩾2$n\geqslant 2$. In this paper, we combine the Postnikov tower of spheres and the homotopy decomposition of the reduced suspension space ΣM$\Sigma M$ to investigate the (integral) cohomotopy sets π*(M)$\pi ^\ast (M)$ for n=2,3,4$n=2,3,4$, under the assumption ...
Pengcheng Li, Jianzhong Pan, Jie Wu
wiley   +1 more source

Elementary abelian operator groups and admissible formations [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1983
AbstractSuppose the elementary abelian group A acts on the group G where A and G have relatively prime orders. If CG(a) belongs to some formation F for all non-identity elements a in A, does it follow that G belongs to F? For many formations, the answer is shown to be yes provided that the rank of A is sufficiently large.
openaire   +3 more sources