Zobrazeno 1 - 10
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pro vyhledávání: '"p-group"'
We provide a brief overview of our upcoming work identifying all the thin Heckoid groups in $PSL(2,\mathbb{C})$. Here we give a complete list of the $55$ thin generalised triangle groups of slope $1/2$. This work was presented at the conference Compu
Externí odkaz:
http://arxiv.org/abs/2409.04438
In \cite{Ha86} Harer explicitly constructed a spine for the decorated Teichm\"uller space of orientable surfaces with at least one puncture and negative Euler characteristic. In this paper we point out some instances where his computation of the dime
Externí odkaz:
http://arxiv.org/abs/2409.04392
Autor:
Moravec, Primoz
We show that if a Sylow $p$-subgroup of a finite group $G$ is nilpotent of class at most $p$, then the $p$-part of the Bogomolov multiplier of $G$ is locally controlled.
Externí odkaz:
http://arxiv.org/abs/2409.04274
Autor:
Lazar, Ioana-Claudia
We investigate the structure of the minimal displacement set in weakly systolic complexes. We show that such set is systolic and that it embeds isometrically into the complex. As corollaries, we prove that any isometry of a weakly systolic complex ei
Externí odkaz:
http://arxiv.org/abs/2409.03850
Autor:
Magee, Michael, de la Salle, Mikael
We prove almost sure strong asymptotic freeness of i.i.d. random unitaries with the following law: sample a Haar unitary matrix of dimension $n$ and then send this unitary into an irreducible representation of $U(n)$. The strong convergence holds as
Externí odkaz:
http://arxiv.org/abs/2409.03626
Autor:
Mangioni, Giorgio
We provide sufficient conditions for two subgroups of a hierarchically hyperbolic group to generate an amalgamated free product over their intersection. The result applies in particular to certain geometric subgroups of mapping class groups of finite
Externí odkaz:
http://arxiv.org/abs/2409.03602
Autor:
Souza, Gabriel de Arêa Leão
G. Navarro and P. H. Tiep, among others, have studied groups with few rational conjugacy classes or few rational irreducible characters. In this paper we look at the opposite extreme. Let $G$ be a finite group. Given a conjugacy class $K$ of $G$, we
Externí odkaz:
http://arxiv.org/abs/2409.03539
Autor:
Gutik, Oleg
Let $\mathscr{C}_{+}(p,q)^0$ and $\mathscr{C}_{-}(p,q)^0$ be the semigroups $\mathscr{C}_{+}(a,b)$ and $\mathscr{C}_{-}(a,b)$ with the adjoined zero. We show that the semigroups $\mathscr{C}_{+}(p,q)^0$ and $\mathscr{C}_{-}(p,q)^0$ admit continuum ma
Externí odkaz:
http://arxiv.org/abs/2409.03490
Autor:
Deloup, Florian L.
It is known that an abelian group $A$ and a $2$-cocycle $c:A \times A \to C$ yield a group ${\mathscr{H}}(A,C,c)$ which we call a Heisenberg group. This group, a central extension of $A$, is the archetype of a class~$2$ nilpotent group. In this note,
Externí odkaz:
http://arxiv.org/abs/2409.03399