Zobrazeno 1 - 10
of 78 571
pro vyhledávání: '"conjugacy"'
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:
Tarocchi, Matteo
This dissertation is about rearrangement groups: a class of groups of homeomorphisms of fractal topological spaces. Introduced in 2019 by J. Belk and B. Forrest, this class generalizes the famous trio of Thompson groups $F$, $T$ and $V$ and includes
Externí odkaz:
http://arxiv.org/abs/2412.02339
Autor:
Jack, Trevor
A semigroup conjugacy is an equivalence relation that equals group conjugacy when the semigroup is a group. In this note, we answer five open problems related to semigroup conjugacy. (Problem One) We say a conjugacy ~ is partition-covering if for eve
Externí odkaz:
http://arxiv.org/abs/2411.16284
Autor:
Das, Shrabani, Nath, Rajat Kanti
In this paper we compute first and second Zagreb indices of commuting conjugacy class graphs of finite groups and determine several classes of finite groups such that their commuting conjugacy class graphs satisfy Hansen-Vuki\v{c}evi\'c conjecture.
Externí odkaz:
http://arxiv.org/abs/2411.03170
Autor:
Jones, Gareth A.
We obtain formulae for the numbers of isomorphism and conjugacy classes of non-identity proper subgroups of the groups $G={\rm PSL}_2(p)$, $p$ prime, and for the numbers of those conjugacy classes which do or do not consist of self-normalising subgro
Externí odkaz:
http://arxiv.org/abs/2411.02219
Autor:
Guo, David
Let $G = K \rtimes \langle t \rangle $ be a finitely generated group where $K$ is abelian and $\langle t\rangle$ is the infinite cyclic group. Let $ R $ be a finite symmetric subset of $K$ such that $S = \{ (r,1),(0,t^{\pm 1}) \mid r \in R \}$ is a g
Externí odkaz:
http://arxiv.org/abs/2410.23034