Results 81 to 90 of about 303,170 (266)
, 2012 In the representation theory of finite groups, there is a well-known and important conjecture, due to Brou\'e saying that for any prime p, if a p-block A of a finite group G has an abelian defect group P, then A and its Brauer corresponding block B of ...
Koshitani, Shigeo +2 more
core +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
Communications in Advanced Mathematical Sciences, 2019 The theory of $p$-ramification, regarding the Galois group of the maximal pro-$p$-extension of a number field $K$, unramified outside $p$ and $\infty$, is well known including numerical experiments with PARI/GP programs.
Georges Gras
doaj +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
Elementary abelian 2 subgroups of compact Lie groups [PDF]
arXiv, 2011 We classify elementary abelian 2 subgroups of compact simple Lie groups of adjoint type. This finishes the classification of elementary abelian $p$ subgroups of compact (or linear algebraic) simple groups of adjoint type.
arxiv
The Hilton–Milnor theorem in higher topoi
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1468-1481, May 2025.Abstract In this note, we show that the classical theorem of Hilton–Milnor on finite wedges of suspension spaces remains valid in an arbitrary ∞$\infty$‐topos. Our result relies on a version of James' splitting proved in [Devalapurkar and Haine, Doc. Math.
Samuel Lavenir
wiley +1 more source
Elementary Equivalence of Endomorphism Rings of Abelian p-Groups [PDF]
Fundamentalnaya i Prikladnaya Matematika, 2004, 10(2), 135-224 (in
Russian), 2006 In this paper we study a relationship between elementary equivalence of endomorphism rings of Abelian p-groups and second order equivalence of the corresponding Abelian p-groups.
arxiv
Borsuk--Ulam theorems for elementary abelian 2-groups [PDF]
arXiv, 2022 Let $G$ be a compact Lie group and let $U$ and $V$ be finite-dimensional real $G$-modules with $V^G=0$. A theorem of Marzantowicz, de Mattos and dos Santos estimates the covering dimension of the zero-set of a $G$-map from the unit sphere in $U$ to $V$ when $G$ is an elementary elementary abelian $p$-group for some prime $p$ or a torus.
arxiv
The Mod-2 Cohomology Ring of the Third Conway Group is Cohen-Macaulay
, 2010 By explicit machine computation we obtain the mod-2 cohomology ring of the third Conway group Co_3. It is Cohen-Macaulay, has dimension 4, and is detected on the maximal elementary abelian 2-subgroups.Comment: 12 pages; writing style now more ...
Adem +10 more
core +1 more source
On the isomorphism problem for monoids of product‐one sequences
Bulletin of the London Mathematical Society, Volume 57, Issue 5, Page 1482-1495, May 2025.Abstract Let G1$G_1$ and G2$G_2$ be torsion groups. We prove that the monoids of product‐one sequences over G1$G_1$ and over G2$G_2$ are isomorphic if and only if the groups G1$G_1$ and G2$G_2$ are isomorphic. This was known before for abelian groups.
Alfred Geroldinger, Jun Seok Oh
wiley +1 more source