Zobrazeno 1 - 10
of 209
pro vyhledávání: '"20F99"'
Autor:
Opazo, Leonardo Dinamarca
For each natural number $n$, we consider the subgroup $\mathcal{R}_n$ of Homeo$_+[0,1]$ made by the elements that are linear except for a subset whose Cantor-Bendixson rank is less than or equal to $n$. These groups of generalized piecewise-linear tr
Externí odkaz:
http://arxiv.org/abs/2406.13723
Autor:
Ba, Idrissa, Elhamdadi, Mohamed
This paper gives a new way of characterizing L-space $3$-manifolds by using orderability of quandles. Hence, this answers a question of Adam Clay et al. [Question 1.1 of Canad. Math. Bull. 59 (2016), no. 3, 472-482]. We also investigate both the orde
Externí odkaz:
http://arxiv.org/abs/2307.08605
A gyrogroup is a structure constituting from a non-empty set and a binary operation such that satisfying the left identity, and left inverse conditions, and also has the associative-like law said to be left gyroassociativity and left loop property. I
Externí odkaz:
http://arxiv.org/abs/2303.01066
Autor:
Sabatini, Luca
Publikováno v:
Ars Math. Contemp. (2023)
Let $G$ be a group. We give an explicit description of the set of elements $x \in G$ such that $x^{|G:H|} \in H$ for every subgroup of finite index $H \leqslant G$. This is related to the following problem: given two subgroups $H$ and $K$, with $H$ o
Externí odkaz:
http://arxiv.org/abs/2210.02261
Autor:
Ba, Idrissa, Elhamdadi, Mohamed
In this paper, we introduce the notion of circular orderability for quandles. We show that the set all right (respectively left) circular orderings of a quandle is a compact topological space. We also show that the space of right (respectively left)
Externí odkaz:
http://arxiv.org/abs/2204.09458
Autor:
Lisi, Francesca, Sabatini, Luca
Let $w=w(x_1,...,x_n)$ be a word, i.e. an element of the free group $F = \langle x_1,...,x_n \rangle$. The verbal subgroup $w(G)$ of a group $G$ is the subgroup generated by the set $\{ w(x_1,...,x_n) : x_1,...,x_n \in G \}$ of all $w$-values in $G$.
Externí odkaz:
http://arxiv.org/abs/2203.12021
Autor:
Carlsson, Gunnar, Joshua, Roy
This paper formulates a group condition which is enjoyed by absolute Galois groups, and which guarantees that profinite groups satisfying the condition can be approximated as an inverse limit of groups which are profinite analogues of Bieberbach grou
Externí odkaz:
http://arxiv.org/abs/2202.00219
Autor:
Leary, Ian J., Minasyan, Ashot
Publikováno v:
J. Group Theory 26 (2023), no. 4, pp. 741--750
Answering Questions 19.23 and 19.24 from the Kourovka notebook we construct polycyclic groups with arbitrary torsion lengths and give examples of finitely presented groups whose quotients by their torsion subgroups are not finitely presented.
Co
Co
Externí odkaz:
http://arxiv.org/abs/2112.14546
Autor:
Roushon, S K
In this article we introduce the notion of a k-almost-quasifibration and give many examples. We also show that a large class of these examples are not quasifibrations. As a consequence, supporting the Asphericity conjecture of [19], we deduce that th
Externí odkaz:
http://arxiv.org/abs/2111.06159
Publikováno v:
Zap. Nauch. Seminarov POMI, 500, pages 177-188, 2021
It was shown that in a group of bijections of an infinite set some families of subsets, related to the cardinality of some eigenspaces, are generating. Besides, we derived a criterion for generating by sets of this kind.
Comment: 7 pages
Comment: 7 pages
Externí odkaz:
http://arxiv.org/abs/2109.09174