Results 81 to 90 of about 51,537 (200)

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

open access: yesInternational 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

Alperin's bound and normal Sylow subgroups

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let G$G$ be a finite group, p$p$ a prime number and P$P$ a Sylow p$p$‐subgroup of G$G$. Recently, Malle, Navarro, and Tiep conjectured that the number of p$p$‐Brauer characters of G$G$ coincides with that of the normalizer NG(P)${\bf N}_G(P)$ if and only if P$P$ is normal in G$G$.
Zhicheng Feng   +2 more
wiley   +1 more source

FTheoryTools: Advancing Computational Capabilities for F‐Theory Research

open access: yesFortschritte der Physik, Volume 74, Issue 1, January 2026.
Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies   +2 more
wiley   +1 more source

On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
Parametrization of 4 × 4-matrices G of the complex linear group GL(4,C) in terms of four complex 4-vector parameters (k,m,n,l) is investigated. Additional restrictions separating some subgroups of GL(4,C) are given explicitly.
Natalia G. Tokarevskaya   +2 more
doaj   +1 more source

Sylow like theorems for V(ZG) [PDF]

open access: yesInternational Journal of Group Theory, 2015
The main part of this article is a survey on torsion subgroups of the unit group of an integral group ring. It contains the major parts of my talk given at the conference "Groups, Group Rings and Related Topics" at UAEU in AlAin October 2013.
Wolfgang Kimmerle
doaj  

Scissors congruence K$K$‐theory for equivariant manifolds

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling   +4 more
wiley   +1 more source

Multipliers on weighted Hardy spaces over certain totally disconnected groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
In this note, we consider the multipliers on weighted H1 spaces over totally disconnected locally compact abelian groups with a suitable sequence of open compact subgroups (Vilenkin groups).
Toshiyuki Kitada
doaj   +1 more source

On the Capability of Finite Abelian Pairs of Groups

open access: yesJournal of Mathematical Extension, 2015
A group G is called capable if it is isomorphic to the group of inner automorphisms of some group H. The notion of capable groups was extended to capable pairs by G. Ellis, in 1996. Recently, a classification of capable pairs of finite abelian groups was
A. Hokmabadi, M. Afkanpour, S. Kayvanfar
doaj  

Structure of Finite-Dimensional Protori

open access: yesAxioms, 2019
A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
doaj   +1 more source

Abelian subgroups of Helly groups

open access: yes, 2022
2 pages. Comments are welcome!
openaire   +2 more sources

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