Results 11 to 20 of about 85,691 (212)

Triangles in cartesian squares of quasirandom groups [PDF]

open access: yes, 2016
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]

open access: yes, 2009
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.
core   +1 more source

Conjugacy class conditions in locally compact second countable groups [PDF]

open access: yes, 2015
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
core   +1 more source

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

On Periodic Groups and Shunkov Groups that are Saturated by Dihedral Groups and $A_5$

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2017
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
doaj   +1 more source

On Shunkov Groups Saturated with Finite Groups

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2018
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
doaj   +1 more source

Structure of Finite-Dimensional Protori

open access: yesAxioms, 2019
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
doaj   +1 more source

Smith theory, L2 cohomology, isometries of locally symmetric manifolds and moduli spaces of curves [PDF]

open access: yes, 2011
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
core   +1 more source

A dichotomy property for locally compact groups [PDF]

open access: yes, 2018
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

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

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