Results 61 to 70 of about 544 (187)

Groups with a finite Busemann boundary are virtually cyclic

Bulletin of the London Mathematical Society, Volume 58, Issue 8, August 2026.
Abstract This note is a continuation of the study of the relationship between the geometry of Cayley graphs and the size of its metric‐functional boundary. We show that if there exists a Cayley graph with finitely many Busemann points, then the underlying group is virtually cyclic.
Corentin Bodart, Liran Ron‐George, Ariel Yadin   +2 more
wiley   +1 more source

Heights on ‘hybrid orbits’ in Shimura varieties

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley   +1 more source

Abelian Sylow subgroups in a finite group

Journal of Algebra, 2014
The authors prove the following theorem: If \(p\neq 3\), \(5\) is a prime then Sylow \(p\)-subgroups of a finite group \(G\) are Abelian if and only if the class sizes of the \(p\)-elements of \(G\) are all coprime to \(p\). This gives a solution (for \(p\neq 3\), \(5\)) to a problem posed by \textit{R. Brauer} in 1956 (see Problem 12 in [Lect.
Navarro, Gabriel, Tiep, Pham Huu
openaire   +2 more sources

An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley   +1 more source

Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature

Mathematische Nachrichten, Volume 299, Issue 7, Page 1751-1780, July 2026.
ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río, R. Rodríguez‐Gigirey, R. Vázquez‐Lorenzo   +2 more
wiley   +1 more source

Renormalization techniques for inflation systems and some of their applications

Acta Crystallographica Section A, Volume 82, Issue 4, Page 294-304, July 2026.
In this work, renormalization methods for quantities related to the diffraction of inflation systems are surveyed.Exact renormalization techniques are important and powerful, particularly for inflation‐generated systems. We review recent results in this direction.
Michael Baake, Franz Gähler, Anna Klick, Neil Mañibo, Jan Mazáč   +4 more
wiley   +1 more source

On a question of Jaikin-Zapirain about the average order elements of finite groups [PDF]

International Journal of Group Theory
For a finite group $G$, the average order $o(G)$ is defined to be the average of all order elements in $G$, that is $o( G)=\frac{1}{|G|}\sum_{x\in G}o(x)$, where $o(x)$ is the order of element $x$ in $G$.
Bijan Taeri, Ziba Tooshmalani
doaj   +1 more source

Cohomology of solvable saturable pro‐p$p$ groups and Lie algebras

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Let p$p$ be an odd prime and let n∈N$n\in \mathbb {N}$ be an integer. We show that the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of a solvable saturable pro‐p$p$ group is isomorphic to the n-th$n{\text{-th}}$ mod‐p$p$ cohomology of its associated Zp$\mathbb {Z}_p$‐Lie algebra g$\mathfrak {g}$ as an Fp$\mathbb {F}_p$‐vector space.
Oihana Garaialde Ocaña, Jon González‐Sánchez, Lander Guerrero‐Sánchez   +2 more
wiley   +1 more source

Spectral Analysis Implies Spectral Synthesis

Mathematics
In this paper we show that spectral analysis implies spectral synthesis for arbitrary varieties on locally compact Abelian groups that have no discrete subgroups of an infinite torsion-free rank.
László Székelyhidi
doaj   +1 more source

Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$

Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey, Mark L. Lewis, A. A. Schaeffer Fry, Hung P. Tong‐Viet   +3 more
wiley   +1 more source