Results 11 to 20 of about 190,558 (333)

Dehn functions of coabelian subgroups of direct products of groups [PDF]

Journal of the London Mathematical Society, 2021
We develop new methods for computing the precise Dehn functions of coabelian subgroups of direct products of groups, that is, subgroups which arise as kernels of homomorphisms from the direct product onto a free abelian group.
Robert P. Kropholler, Claudio Llosa Isenrich   +1 more
semanticscholar   +3 more sources

DIRECT PRODUCTS OF ROUGH SUBGROUPS [PDF]

Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering, 2019
In this study, we have defined the concepts of direct products of the rough approximations and rough subgroups in a group. We have given some basic features about the subject described in the present article and we have also examined the homomorphic ...
Nurettin Bağırmaz
semanticscholar   +3 more sources

Prosoluble subgroups of free profinite products

Forum of Mathematics, Sigma
We describe finitely generated and second countable prosoluble subgroups of free profinite products. We also give a description of relatively projective prosoluble groups.
Pavel Zalesskii
doaj   +2 more sources

Separating cyclic subgroups in graph products of groups [PDF]

Journal of Algebra, 2018
We prove that the property of being cyclic subgroup separable, that is having all cyclic subgroups closed in the profinite topology, is preserved under forming graph products. Furthermore, we develop the tools to study the analogous question in the pro-p
Federico Berlai, Michal Ferov
semanticscholar   +2 more sources

Binary subgroups of direct products

L’Enseignement Mathématique, 2023
We explore an elementary construction that produces finitely presented groups with diverse homological finiteness properties – the binary subgroups , B(\Sigma,\mu)<G_1\times\dots\times G_m .
Bridson, Martin
openaire   +5 more sources

The Subgroups of Direct Products of Surface Groups

Geometriae Dedicata, 2002
A surface group is the fundamental group of a connected 2-manifold; such a group is either free (of finite or countably infinite rank) or isomorphic to the fundamental group of a closed 2-manifold. Generalizing results for subgroups of direct products of free groups (in particular of \textit{G. Baumslag} and \textit{J. E. Roseblade} [J. Lond. Math. Soc.
Bridson, M, Howie, J, Miller, C, Short, H   +3 more
openaire   +3 more sources

The orders of subgroup products and coset products [PDF]

Transactions on Combinatorics
A sect is a subset of a group given by the product of a finite number of subgroups. It is generally not a direct product nor even a subgroup of the group. For finite groups, the orders of sects are their basic invariants.
Shigeru Takamura
doaj   +2 more sources

Explicit bounds for fixed subgroups of endomorphisms of free products [PDF]

Journal of Algebra, 2022
For an automorphism $\phi$ of a free group $F_n$ of rank $n$, Bestvina and Handel showed that the rank $rk Fix(\phi)$ of the fixed subgroup is not greater than $n$ (the so-called Scott conjecture).
Jialin Lei, Qiang Zhang
semanticscholar   +1 more source

On the pronormality of subgroups of odd index in some direct products of finite groups [PDF]

Journal of Algebra and its Applications, 2020
A subgroup $H$ of a group $G$ is said to be {\it pronormal} in $G$ if $H$ and $H^g$ are conjugate in $\langle H, H^g \rangle$ for each $g \in G$. Some problems in Finite Group Theory, Combinatorics, and Permutation Group Theory were solved in terms of ...
N. Maslova, D. Revin
semanticscholar   +1 more source

Factoring Continuous Characters Defined on Subgroups of Products of Topological Groups

Axioms, 2021
This study is on the factorization properties of continuous homomorphisms defined on subgroups (or submonoids) of products of (para)topological groups (or monoids).
Mikhail G. Tkachenko
doaj   +1 more source