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pro vyhledávání: '"Double coset"'
Autor:
Barber, Rachel, Dobson, Ted
It has long been known that a vertex-transitive graph $\Gamma$ is isomorphic to a double coset graph $\text{Cos}(G,H,S)$ of a transitive group $G\le\text{Aut}(\Gamma)$, a vertex stabilizer $H\le G$, and some subset $S\subseteq G$. We show that the au
Externí odkaz:
http://arxiv.org/abs/2407.02316
Autor:
Marchionna, Bianca
We study the double-coset zeta functions for groups acting on trees, focusing mainly on weakly locally $\infty$-transitive or (P)-closed actions. After giving a geometric characterisation of convergence for the defining series, we provide explicit de
Externí odkaz:
http://arxiv.org/abs/2409.01860
Autor:
Hovland, Seth
In this paper we provide a solution to the double coset problem for the braid group $B_n$ modulo the Hilden subgroup $H_n.$ This result demonstrates that, as in the case of braid closures, the Link Problem for plat closures is "stably equivalent" to
Externí odkaz:
http://arxiv.org/abs/2401.02488
Autor:
Britnell, John R., Wildon, Mark
Let $Q$ be a probability measure on a finite group $G$, and let $H$ be a subgroup of $G$. We show that a necessary and sufficient condition for the random walk driven by $Q$ on $G$ to induce a Markov chain on the double coset space $H\backslash G/H$,
Externí odkaz:
http://arxiv.org/abs/2311.02723
Compact finite-rank nilspaces have become central in the nilspace approach to higher-order Fourier analysis, notably through their role in a general form of the inverse theorem for the Gowers norms. This paper studies these nilspaces per se, and in c
Externí odkaz:
http://arxiv.org/abs/2305.11233
Autor:
Hooshmand, M. H.
Recently, we have introduced and studied the topic of sub-indices and sub-factors of groups. During those studies, an algorithm for obtaining the sub-factors of a finite group was stated and proved, which has a particular case for calculating the tra
Externí odkaz:
http://arxiv.org/abs/2304.01750
Akademický článek
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Autor:
Ronan, A.
We derive double coset formulae for the genus and extended genus of a finitely generated nilpotent group G, using the notions of bounded and bounded above automorphisms of $\prod G_S$, which are defined relative to a fixed fracture square for G.
Externí odkaz:
http://arxiv.org/abs/2210.10497
Let $G$ be a finite group. Let $H, K$ be subgroups of $G$ and $H \backslash G / K$ the double coset space. Let $Q$ be a probability on $G$ which is constant on conjugacy classes ($Q(s^{-1} t s) = Q(t)$). The random walk driven by $Q$ on $G$ projects
Externí odkaz:
http://arxiv.org/abs/2208.10699
Autor:
Minasyan, Ashot
Publikováno v:
Bull. Lond. Math. Soc. 55 (2023), no. 2, pp. 1033-1040
A residually finite group $G$ has the Wilson-Zalesskii property if for all finitely generated subgroups $H,K \leqslant G$, one has $\bar{H} \cap \bar{K}=\overline{H \cap K}$, where the closures are taken in the profinite completion $\widehat G$ of $G
Externí odkaz:
http://arxiv.org/abs/2208.04058