Results 41 to 50 of about 365,665 (290)

On Direct Products of Dihedral Groups in Locally Finite Groups

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
When studying infinite groups, as a rule, some finiteness conditions are imposed. For example, they require that the group be periodic, a Shunkov group, a Frobenius group, or a locally finite group.
I. A. Timofeenko, A.A. Shlepkin
doaj   +1 more source

The Automorphism Group of Hall's Universal Group

open access: yes, 2017
We study the automorphism group of Hall's universal locally finite group $H$. We show that in $Aut(H)$ every subgroup of index $< 2^\omega$ lies between the pointwise and the setwise stabilizer of a unique finite subgroup $A$ of $H$, and use this to ...
Paolini, Gianluca, Shelah, Saharon
core   +1 more source

Note on local structure of Artin stacks [PDF]

open access: yes, 2010
In this note we show that an Artin stack with finite inertia stack is etale locally isomorphic to the quotient of an affine scheme by an action of a general linear ...
Iwanari, Isamu
core   +3 more sources

On Locally Finite Skew Group Algebras [PDF]

open access: yesMathematical Notes, 2020
In this note, we study the problem on the existence of non-cyclic free subgroups of the skew group algebra of a locally finite group over a field.
Hai, Bui Xuan   +2 more
openaire   +3 more sources

On a Sufficient Condition for the Existence of a Periodic Part in the Shunkov Group

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2017
The group $ G $ is saturated with groups from the set of groups if any a finite subgroup $ K $ of $ G $ is contained in a subgroup of $ G $, which is isomorphic to some group in $ \mathfrak{X} $.
A.A. Shlepkin
doaj   +1 more source

Torsion locally nilpotent groups with non-Dedekind norm of Abelian non-cyclic subgroups

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
The authors study relations between the properties of torsion locally nilpotent groups and their norms of Abelian non-cyclic subgroups. The impact of the norm of Abelian non-cyclic subgroups on the properties of the group under the condition of norm non ...
T.D. Lukashova, M.G. Drushlyak
doaj   +1 more source

Inertial endomorphisms of an abelian group

open access: yes, 2013
We describe inertial endomorphisms of an abelian group $A$, that is endomorphisms $\varphi$ with the property $|(\varphi(X)+X)/X|
Dardano, Ulderico, Rinauro, Silvana
core   +1 more source

An example of a non-Borel locally-connected finite-dimensional topological group

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2017
According to a classical theorem of Gleason and Montgomery, every finite-dimensional locally path-connected topological group is a Lie group. In the paper for every $n\ge 2$ we construct a locally connected subgroup $G\subset{\mathbb R}^{n+1}$ of ...
I.Ya. Banakh, T.O. Banakh, M.I. Vovk
doaj   +1 more source

Finitary Group Cohomology and Group Actions on Spheres

open access: yes, 2008
We show that if G is an infinitely generated locally (polycyclic-by-finite) group with cohomology almost everywhere finitary, then every finite subgroup of G acts freely and orthogonally on some sphere.Comment: 6 ...
Hamilton, Martin
core   +1 more source

Contractible stability spaces and faithful braid group actions [PDF]

open access: yes, 2018
We prove that any `finite-type' component of a stability space of a triangulated category is contractible. The motivating example of such a component is the stability space of the Calabi--Yau-$N$ category $\mathcal{D}(\Gamma_N Q)$ associated to an ADE ...
Qiu, Yu, Woolf, Jon
core   +2 more sources

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