Zobrazeno 1 - 10
of 221
pro vyhledávání: '"20F50"'
Autor:
Surbhi, Venkataraman, Geetha
In this paper, we investigate certain graphs defined on groups, with a focus on infinite groups. The graphs discussed are the power graph, the enhanced power graph, and the commuting graph whose vertex set is a group $G$. The power graph is a graph i
Externí odkaz:
http://arxiv.org/abs/2410.10401
We study the maximal subgroups of branch groups and obtain a criterion that ensures that certain spinal groups are contained in the class $\mathcal{MF}$ of groups with all maximal subgroups of finite index. This allows us to construct branch groups w
Externí odkaz:
http://arxiv.org/abs/2410.06783
For a prime $p$, fusion systems over discrete $p$-toral groups are categories that model and generalize the $p$-local structure of Lie groups and certain other infinite groups in the same way that fusion systems over finite $p$-groups model and gener
Externí odkaz:
http://arxiv.org/abs/2409.09703
Autor:
Skresanov, Saveliy V.
The famous Brauer-Fowler theorem states that the order of a finite simple group can be bounded in terms of the order of the centralizer of an involution. Using the classification of finite simple groups, we generalize this theorem and prove that if a
Externí odkaz:
http://arxiv.org/abs/2402.05437
Autor:
Ivanov, Aleksander, Majcher, Krzysztof
We consider the logic space of countable (enumerated) groups and show that closed subspaces corresponding to some standard classes of groups have (do not have) generic groups. We also discuss the cases of semigroups and associative rings.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/2402.02143
Autor:
Ferrara, Maria, Trombetti, Marco
Let $\sigma=\{\sigma_j\,:\, j\in J\}$ be a partition of the set $\mathbb{P}$ of all prime numbers. A subgroup $X$ of a finite group $G$ is~\textit{$\sigma$-subnormal} in $G$ if there exists a chain of subgroups $$X=X_0\leq X_1\leq\ldots\leq X_n=G$$ s
Externí odkaz:
http://arxiv.org/abs/2310.03391
Autor:
Petschick, Jan Moritz
We construct finitely generated Engel branch groups, answering a question of Fern\'andez-Alcober, Noce and Tracey on the existence of such objects. In particular, the groups constructed are not nilpotent, yielding the second known class of examples o
Externí odkaz:
http://arxiv.org/abs/2308.01968
Autor:
Guelman, Nancy, Liousse, Isabelle
H\"older's theorem states that any group acting freely by circle homeomorphisms is abelian, this is no longer true for interval exchange transformations: we first give examples of free actions of non abelian groups. Then after noting that finitely ge
Externí odkaz:
http://arxiv.org/abs/2305.04642
Autor:
Breuillard, Emmanuel
We discuss Jordan's theorem on finite subgroups of invertible matrices and give an account of his original proof.
Comment: 18 pages, to appear in Model Theory, volume in honour of Udi Hrushovski
Comment: 18 pages, to appear in Model Theory, volume in honour of Udi Hrushovski
Externí odkaz:
http://arxiv.org/abs/2305.00722
Autor:
Shelah, Saharon
We prove that for lambda = beta_omega or just lambda strong limit singular of cofinality aleph_0, if there is a universal member in the class K^lf_lambda of locally finite groups of cardinality lambda, then there is a canonical one (parallel to speci
Externí odkaz:
http://arxiv.org/abs/2303.03788