Zobrazeno 1 - 10
of 594
pro vyhledávání: '"20E22"'
Autor:
Gluck, David
Let G be a finite solvable permutation group. Then modulo a possibly trivial normal elementary abelian 3-subgroup, some set-stabilizer in G is a 2-group.
Comment: 8 pages, no figures
Comment: 8 pages, no figures
Externí odkaz:
http://arxiv.org/abs/2412.17976
Autor:
Crowe, Gemma
In this paper we solve the conjugacy problem for several classes of virtual right-angled Artin groups, using algebraic and geometric techniques. We show that virtual RAAGs of the form $A_{\phi} = A_{\Gamma} \rtimes_{\phi} \mathbb{Z}/m\mathbb{Z}$ are
Externí odkaz:
http://arxiv.org/abs/2412.10293
Autor:
Kozlov, K. L., Sorin, B. V.
The notion of a proper Ellis semigroup compactification is introduced. Ellis's functional approach shows how to obtain them from totally bounded equiuniformities on a phase space $X$ when the acting group $G$ is with the topology of pointwise converg
Externí odkaz:
http://arxiv.org/abs/2412.04281
In this paper, we study sequences of topological spaces called "vertical configuration spaces" of points in Euclidean space. We apply the theory of FI$_G$-modules, and results of Bianchi-Kranhold, to show that their (co)homology groups are "represent
Externí odkaz:
http://arxiv.org/abs/2412.01128
Starting with an integral domain $D$ of characteristic $0$, we consider a class of iterated wreath product $W_n$ of $n$ copies of $D$. In order that $W_n$ be transfinite hypercentral, it is necessary to restrict to the case of wreath products defined
Externí odkaz:
http://arxiv.org/abs/2411.03846
Autor:
Zavarnitsine, Andrei V.
We find an explicit form of the inverse isomorphism from Shapiro's lemma in terms of inhomogeneous cocycles and apply it to construct special nonsplit coverings of groups with a unique conjugacy class of involutions.
Externí odkaz:
http://arxiv.org/abs/2410.16885
Autor:
Blachar, Guy
We show that the lamplighter groups $(\mathbb{Z}/p\mathbb{Z})^n\wr\mathbb{Z}$, where $p$ is prime and $n\ge 1$ is a positive integer, are profinitely rigid.
Comment: 6 pages. Comments are welcome!
Comment: 6 pages. Comments are welcome!
Externí odkaz:
http://arxiv.org/abs/2410.15945
Autor:
Tucker-Drob, Robin, Wróbel, Konrad
Let $\Gamma$ be a countable group that admits an essential measurable splitting (for instance, any group measure equivalent to a free product of nontrivial groups). We show: (1) for any two nontrivial countable groups $B$ and $C$ that are measure equ
Externí odkaz:
http://arxiv.org/abs/2410.11754
In this article, we classify disconnected reductive groups over an algebraically closed field with a few caveats. Internal parts of our result are both a classification of finite groups and a classification of integral representations of a fixed fini
Externí odkaz:
http://arxiv.org/abs/2409.06375
Autor:
Assakaf, Hicham
Let $T$ be a finite group. To a representation $\pi$ of $T$ and an involutive solution of the Yang-Baxter equation (an $R$-matrix) verifying the "extended" reflection equation, we associate a character and a representation of the wreath product $G:=T
Externí odkaz:
http://arxiv.org/abs/2408.13375