Results 71 to 80 of about 2,701,761 (237)

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

Notes on compact nilspaces

Discrete Analysis, 2017
Notes on compact nilspaces, Discrete Analysis 2017:16, 57 pp. This is the second paper in a two-part series. The first paper, [also published in this journal](http://discreteanalysisjournal.com/article/2105-notes-on-nilspaces-algebraic-aspects ...
Pablo Candela
doaj   +1 more source

On the Hodge group and invariant cycles of a simple Abelian variety with a stable reduction of odd toric rank [PDF]

arXiv, 2018
The semi-simplicity of the Hodge group is proved for a simple Abelian variety with a stable reduction of odd toric (reductive) rank. If, besides, the dimension of the Abelian variety is an odd integer, then the Hodge conjecture on algebraic cycles holds for it.
arxiv  

Full Rank Tilings of Finite Abelian Groups [PDF]

SIAM Journal on Discrete Mathematics, 2006
A tiling of a finite abelian group $G$ is a pair $(V,A)$ of subsets of $G$ such that $0$ is in both $V$ and $A$ and every $g\in G$ can be uniquely written as $g=v+a$ with $v\in V$ and $a\in A$. Tilings are a special case of normed factorizations, a type of factorization by subsets that was introduced by Hajos [Casopsis Puest Path. Rys., 74, (1949), pp.
openaire   +1 more source

Locally constant fibrations and positivity of curvature

Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1005-1025, April 2025.
Abstract Up to finite étale cover, any smooth complex projective variety X$X$ with nef anti‐canonical bundle is a holomorphic fibre bundle over a smooth projective variety with trivial canonical class (K‐trivial variety for short) with locally constant transition functions. We show that this result is optimal by proving that any projective fibre bundle
Niklas Müller
wiley   +1 more source

The homological spectrum via definable subcategories

Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1040-1064, April 2025.
Abstract We develop an alternative approach to the homological spectrum of a tensor‐triangulated category through the lens of definable subcategories. This culminates in a proof that the homological spectrum is homeomorphic to a quotient of the Ziegler spectrum.
Isaac Bird, Jordan Williamson
wiley   +1 more source

Freely indecomposable almost free groups with free abelianization [PDF]

J. Group Theory 23 (2020), 531-543, 2019
For certain uncountable cardinals $\kappa$ we produce a group of cardinality $\kappa$ which is freely indecomposable, strongly $\kappa$-free, and whose abelianization is free abelian of rank $\kappa$. The construction takes place in G\"odel's constructible universe $L$. This strengthens an earlier result of Eklof and Mekler.
arxiv  

Arithmetic Satake compactifications and algebraic Drinfeld modular forms

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley   +1 more source

Strongly regular Cayley graphs over primary abelian groups of rank 2 [PDF]

arXiv, 2006
Strongly regular Cayley graphs with Paley parameters over abelian groups of rank 2 were studied in [J.A Davis, Partial difference sets in p-groups, Arch.Math.63 (1994) 103-110; K.H Leung, S.L. Ma, Partial difference sets with Paley parameters, Bull. London Math Soc. 27 (1995) 553-564].
arxiv  

Relative cubulation of relative strict hyperbolization

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley   +1 more source