Zobrazeno 1 - 10
of 28 513
pro vyhledávání: '"Cyclic groups"'
Publikováno v:
Proceedings of the Japan Academy, Series A: Mathematical Sciences. Nov2024, Vol. 100 Issue 9, p51-55. 5p.
Autor:
Alshammari, Maryam Fahd A.1 fahd.alshammari@graduate.utm.my, Mat Hassim, Hazzirah Izzati1 hazzirah@utm.my, Sarmin, Nor Haniza1 nhs@utm.my, Erfanian, Ahmad2 erfanian@um.ac.ir
Publikováno v:
International Journal of Mathematics & Computer Science. 2024, Vol. 19 Issue 3, p841-853. 13p.
Autor:
Mutanguha, Jean Pierre
A free-by-cyclic group can often be viewed as a mapping torus of a free group automorphism (monodromy) in multiple ways. What dynamical properties must these monodromies share, and to what extent are they invariant under quasi-isometries? We give a n
Externí odkaz:
http://arxiv.org/abs/2412.16150
Autor:
Bridson, Martin R., Piwek, Paweł
A free-by-cyclic group $F_N\rtimes_\phi\mathbb{Z}$ has non-trivial centre if and only if $[\phi]$ has finite order in ${\rm{Out}}(F_N)$. We establish a profinite ridigity result for such groups: if $\Gamma_1$ is a free-by-cyclic group with non-trivia
Externí odkaz:
http://arxiv.org/abs/2409.20513
Autor:
Jibiki, Chihaya, Maruyama, Shuhei
In this paper, we construct countably many isolated circular orders on the free products $G = F_{2n} \ast \mathbb{Z}_{m_1} \ast \cdots \ast \mathbb{Z}_{m_k}$ of cyclic groups. Moreover, we prove that these isolated circular orders are not the automor
Externí odkaz:
http://arxiv.org/abs/2410.16932
In this companion article to [HKK24], we apply the theory of equivariant Poincar\'e duality developed there in the special case of cyclic groups $C_p$ of prime order to remove, in a special case, a technical condition given by Davis--L\"uck [DL24] in
Externí odkaz:
http://arxiv.org/abs/2409.02220
We compute Mackey functor-valued Tor over certain free incomplete Tambara functors, generalizing the computation of Tor over a polynomial ring on one generator. In contrast with the classical situation where the resulting Tor groups vanish above degr
Externí odkaz:
http://arxiv.org/abs/2410.11974
Autor:
Kudlinska, Monika, Valiunas, Motiejus
A group $G$ is said to be equationally Noetherian if every system of equations in $G$ is equivalent to a finite subsystem. We show that all free-by-cyclic groups are equationally Noetherian. As a corollary, we deduce that the set of exponential growt
Externí odkaz:
http://arxiv.org/abs/2407.08809
Autor:
Dong, Ruiwen
We show that it is undecidable whether a system of linear equations over the Laurent polynomial ring $\mathbb{Z}[X^{\pm}]$ admit solutions where a specified subset of variables take value in the set of monomials $\{X^z \mid z \in \mathbb{Z}\}$. In pa
Externí odkaz:
http://arxiv.org/abs/2406.08480