Results 11 to 20 of about 85,691 (212)
Triangles in cartesian squares of quasirandom groups [PDF]
We prove that triangular configurations are plentiful in large subsets of cartesian squares of finite quasirandom groups from classes having the quasirandom ultraproduct property, for example the class of finite simple groups.
Bergelson, Vitaly +2 more
core +1 more source
Chern character for totally disconnected groups [PDF]
In this paper we construct a bivariant Chern character for the equivariant $ KK $-theory of a totally disconnected group with values in bivariant equivariant cohomology in the sense of Baum and Schneider.
Voigt, C.
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Conjugacy class conditions in locally compact second countable groups [PDF]
Many non-locally compact second countable groups admit a comeagre conjugacy class. For example, this is the case for the automorphism group of the rational order and the automorphism group of the random graph [Truss]. A. Kechris and C.
Wesolek, Phillip
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On a Sufficient Condition for the Existence of a Periodic Part in the Shunkov Group
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
On Periodic Groups and Shunkov Groups that are Saturated by Dihedral Groups and $A_5$
A group is said to be periodic, if any of its elements is of finite order. A Shunkov group is a group in which any pair of conjugate elements generates Finite subgroup with preservation of this property when passing to factor groups by finite Subgroups ...
A. Shlepkin
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On Shunkov Groups Saturated with Finite Groups
The structure of the group consisting of elements of finite order depends to a large extent on the structure of the finite subgroups of the group under consideration. One of the effective conditions for investigating an infinite group containing elements
A.A. Shlepkin
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Structure of Finite-Dimensional Protori
A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
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Smith theory, L2 cohomology, isometries of locally symmetric manifolds and moduli spaces of curves [PDF]
We investigate periodic diffeomorphisms of non-compact aspherical manifolds (and orbifolds) and describe a class of spaces that have no homotopically trivial periodic diffeomorphisms.
Avramidi, Grigori
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A dichotomy property for locally compact groups [PDF]
We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of $l_1$. For that purpose, we transfer to general locally compact groups the notion of interpolation ($I_0$) set, which was defined by ...
Ferrer, Marita +2 more
core +3 more sources
On Direct Products of Dihedral Groups in Locally Finite Groups
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

