Tootfinder

US-Investoren übernehmen Spyware-Hersteller NSO-Group
Spionage-Software Pegasus: Die umstrittene NSO-Group soll unter die Kontrolle einer US-Investorengruppe kommen. Auch Hollywood spielt angeblich eine Rolle.
https:…

On the unit group scheme of the group algebra of a certain non-commutative finite flat group scheme over an $\Bbb{F}_{p}$-algebra
Yuji Tsuno
https://arxiv.org/abs/2509.08529 htt…

On the unit group scheme of the group algebra of a certain non-commutative finite flat group scheme over an $\Bbb{F}_{p}$-algebra
Suwa investigated the unit group scheme of the group ring associated with a finite flat group scheme and provided a characterization of torsors possessing the normal base property for such schemes. In this paper, we examine the unit group scheme of the group ring for a specific non-commutative finite flat group scheme and characterize torsors with the normal base property in this context. Moreover, in connection with the Noether problem for Hopf algebras proposed by Kassel and Masuoka, we compu…

The distance spectrum of the line graph of the crown graph
S. Morteza Mirafzal
https://arxiv.org/abs/2508.07202 https://arxiv.org/pdf/2508.07202

The distance spectrum of the line graph of the crown graph
The distance eigenvalues of a connected graph $G$ are the eigenvalues of its distance matrix $D(G)$. A graph is called distance integral if all of its distance eigenvalues are integers. Let $n \geq 3$ be an integer. The crown graph $Cr(n)$ is a graph obtained from the complete bipartite graph $K_{n,n}$ by removing a perfect matching. Let $L(Cr(n))$ denote the line graph of the crown graph $Cr(n)$. Using the equitable partition method, the set of distinct distance eigenvalues of the graph $L(Cr(…

Duality on group algebras over finite chain rings: applications to additive group codes
Maryam Bajalan, Javier de la Cruz, Alexandre Fotue Tabue, Edgar Mart\'inez-Moro
https://arxiv.org/abs/2508.07461

Duality on group algebras over finite chain rings: applications to additive group codes
Given a finite group $G$ and an extension of finite chain rings $S|R$, one can consider the group rings $\mathscr{S} = S[G]$ and $\mathscr{R} = R[G]$. The group ring $\mathscr{S}$ can be viewed as an $R$-bimodule, and any of its $R$-submodules naturally inherits an $R$-bimodule structure; in the framework of coding theory, these are called \emph{additive group codes}, more precisely a (left) additive group code of is a linear code which is the image of a (left) ideal of a group algebra via…

Umbruch bei Aleph Alpha: Gründer geht, Schwarz-Gruppe rückt vor
Europas KI-Hoffnungsträger unter neuer Führung: Nach dem Rückzug von Gründer Jonas Andrulis übernehmen Manager mit enger Bindung zur Schwarz-Gruppe.

This is not a joke... A press release from the UK government about a meeting of the "national drought group", in order to "save water at home", suggests to:
"Delete old emails and pictures as data centres require vast amounts of water to cool their systems"
... while the government also pus…

National Drought Group meets to address “nationally significant” water shortfall
Five areas remain in drought with six more in prolonged dry weather

google_web: Old Google web graph (2002)
A web graph representing a crawl of a portion of the general WWW, from a 2002 Google Programming contest.
This network has 916428 nodes and 5105039 edges.
Tags: Informational, Web graph, Unweighted
https://networks.skewed.de/net/google_web

In an earlier life I grew peanuts at Tolga so happy to see a good news story. #peanuts
https://www.abc.net.au/news/rural/2025-09-12/b…

Bega sells peanut processing plants at Kingaroy and Tolga to family business
Workers and growers in the state's peanut industry receive a lifeline, with a major deal struck between Bega and the Crumpton Group.

Etwas mehr der heute besonders häufig geteilten #News:
US-Investoren übernehmen Spyware-Hersteller NSO-Group
https://www.

google_web: Old Google web graph (2002)
A web graph representing a crawl of a portion of the general WWW, from a 2002 Google Programming contest.
This network has 916428 nodes and 5105039 edges.
Tags: Informational, Web graph, Unweighted
https://networks.skewed.de/net/google_web