Results 101 to 110 of about 2,666 (229)

Algebraic obstructions to sequential convergence in Hausdorrf abelian groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1998
Given an abelian group G and a non-trivial sequence in G, when will it be possible to construct a Hausdroff topology on G that allows the sequence to converge?
Bradd Clark, Sharon Cates
doaj   +1 more source

On characterized subgroups of compact abelian groups

open access: yesTopology and its Applications, 2013
A subgroup \(H\) of a topological abelian group \(X\) is called characterized if there exists a sequence \(\mathfrak{u}=\{u_n\}\) of characters of \(X\) such that \(H=s_{\mathfrak{u}}(X)\), where \(s_{\mathfrak{u}}(X):=\{x\in X| (u_n,x)\to 0 \text{ in } \mathbb{T}\}\) and \(\mathbb T\) is the group of reals modulo \(\mathbb Z\).
DIKRANJAN, Dikran, Saak GABRIYELYAN
openaire   +2 more sources

On finite 2-Groups with the non-Dedekind metacyclic norm of Abelian non-cyclic subgroups [PDF]

open access: yesAdvances in Group Theory and Applications, 2021
Tetiana D. Lukashova, Fedir M. Lyman
doaj   +1 more source

On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal

open access: yesДоповiдi Нацiональної академiї наук України
This paper devoted to the nonperiodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup of infinite special rank, then G
L.A. Kurdachenko   +2 more
doaj   +1 more source

Metahamiltonian groups and related topics [PDF]

open access: yesInternational Journal of Group Theory, 2013
A group is called metahamiltonian if all its non-abelian subgroups are normal. This aim of this paper is to provide an updated survey of researches concerning certain classes of generalized metahamiltonian groups, in various contexts, and to prove some ...
Maria De Falco   +2 more
doaj  

Crepant resolutions and A-Hilbert schemes in dimension four [PDF]

open access: yes
The aim of this thesis is to improve our understanding of when crepant resolutions exist in dimension four. In three dimensions [BKR01] proved that for any finite subgroup G ⊂ SL(3,C) the G-Hilbert scheme G-Hilb(C3) gives a crepant resolution of the ...
Davis, Sarah Elizabeth
core  

Commutative group algebras of highly torsion-complete abelian $p$-groups [PDF]

open access: yes, 2003
summary:A new class of abelian $p$-groups with all high subgroups isomorphic is defined. Commutative modular and semisimple group algebras over such groups are examined. The results obtained continue our recent statements published in Comment. Math. Univ.
Danchev, Peter
core  

On Algebraic and Definable Closures for Theories of Abelian Groups

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
doaj   +1 more source

Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [PDF]

open access: yesInternational Journal of Group Theory, 2016
A group G is said to be a (PF)C-group or to have polycyclic-by-finite conjugacy classes, if G/C_{G}(x^{G}) is a polycyclic-by-finite group for all xin G. This is a generalization of the familiar property of being an FC-group.
Mounia Bouchelaghem, Nadir Trabelsi
doaj  

Infinite groups with fixed point properties

open access: yes, 2007
We construct finitely generated groups with strong fixed point properties. Let Xac be the class of Hausdorff spaces of finite covering dimension which are mod–p acyclic for at least one prime p.
G. Arzhantseva   +23 more
core   +1 more source

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