Tootfinder

Arboreal representations of linear groups
Jorge Fari\~na-Asategui
https://arxiv.org/abs/2506.12745 https://arxiv.org/pdf/2506.12745…

Arboreal representations of linear groups
Abért and Virág conjectured in 2005 that any embedding of a linear group over a pro-$p$ domain into the group of $p$-adic automorphisms $W_p$ should be zero-dimensional. We prove their conjecture in greater generality, namely for embeddings of linear groups over any integral domain into the automorphism group of a bounded rooted tree.

No War With Iran Will Erase Israel's Crimes in Gaza. Don't Get Distracted.
Israel has adopted a worldview in which every problem should be solved through force, and the people of Israel have become a collective that admires force and brutality while scorning dialogue and compromise.

On kernel isomorphisms of $m$-Cayley digraphs and finite $2$PCI-groups
Xing Zhang, Yan-Quan Feng, Jin-Xin Zhou, Fu-Gang Yin
https://arxiv.org/abs/2506.12306

On kernel isomorphisms of $m$-Cayley digraphs and finite $2$PCI-groups
The isomorphism problem for digraphs is a fundamental problem in graph theory. In this paper, we consider this problem for $m$-Cayley digraphs which are generalization of Cayley digraphs. Let $m$ be a positive integer. A digraph admitting a group $G$ of automorphisms acting semiregularly on the vertices with exactly $m$ orbits is called an $m$-Cayley digraph of $G$. In our previous paper, we developed a theory for $m$-Cayley isomorphisms of $m$-Cayley digraphs, and classified finite $m$CI-group…

The cubic moment of $L$-functions for specified local component families
Yueke Hu, Ian Petrow, Matthew P. Young
https://arxiv.org/abs/2506.14741 https://…

The cubic moment of $L$-functions for specified local component families
We prove Lindelöf-on-average upper bounds on the cubic moment of central values of $L$-functions over certain families of ${\rm PGL}_2/\mathbb{Q}$ automorphic representations $π$ given by specifying the local representation $π_p$ of $π$ at finitely many primes. Such bounds were previously known in the case that $π_p$ belongs to the principal series or is a ramified quadratic twist of the Steinberg representation; here we handle the supercuspidal case. Crucially, we use new Petersson/Brugge…

🇺🇦 #NowPlaying on BBCRadio3's #EssentialClassics
Joaquín Rodrigo, Miloš Karadaglić, London Philharmonic Orchestra & Yannick Nézet‐Séguin:
🎵 Concierto de Aranjuez for Guitar and Orchestra
#JoaquínRodrigo
https://open.spotify.com/track/1JaiuO9nJJFsu7Pa7IKa0O

Replaced article(s) found for math.CV. https://arxiv.org/list/math.CV/new
[1/1]:
Holomorphic automorphisms of Markov-type surfaces
https://

For those who never had a Mac who are put off by / bemused by / disdainful of all the praise for Bill Atkinson’s work:
Don’t think of this as admiration for Apple and Apple history. Think of it as admiration for a more humane view of computing:
one where software’s job is to bring delight and foster creativity,
one where our devices are not hermetically sealed gifts from the tech gods with which we make a Faustian bargain, but rather a bucket of art supplies for us to play with, reshape, make our own. https://mastodon.social/@arroz/114643547519909731

Admiral Ipecac
bot by @…
This is for tee hee, not treason: please don't torture me.
#satire #potus45

Groups represented by incidence geometries
Dimitri Leemans, Klara Stokes, Philippe Tranchida
https://arxiv.org/abs/2506.10464 https://

Groups represented by incidence geometries
The aim of this paper is to use the framework of incidence geometry to develop a theory that permits to model both the inner and outer automorphisms of a group G simultaneously. More precisely, to any group G, we attempt to associate an incidence system whose group of type-preserving automorphisms is Inn(G), the group of inner automorphisms of G, and whose full group of automorphisms is the group Out(G) of outer automorphisms of G, getting what we call an incidence geometric representation theo…

Class-preserving Coleman Automorphisms of Finite Groups with Semidihedral Sylow 2-Subgroups
Riccardo Aragona
https://arxiv.org/abs/2506.08904 https://

Class-preserving Coleman Automorphisms of Finite Groups with Semidihedral Sylow 2-Subgroups
In this paper, we prove that finite groups with semidihedral Sylow 2-subgroup have Class-preserving Coleman outer automorphism group of odd order. As a consequence, these groups satisfy the normalizer problem. In particular, we extend some existing results in the literature concerning class-preserving Coleman automorphisms of finite groups with semidihedral Sylow 2-subgroups.