Results 11 to 20 of about 86,938 (204)

Characterization of Locally Finite Simple Groups of the Type 3D4 Over Fields of Odd Characteristic in the Class of Periodic Groups

Siberian Mathematical Journal, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei, X., Guo, W., Lytkina, D. V., Mazurov, V. D.   +3 more
openaire   +4 more sources

Characterization of simple symplectic groups of degree 4 over locally finite fields of characteristic 2 in the class of periodic groups

Siberian Mathematical Journal, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lytkina, D. V., Mazurov, V. D.
openaire   +3 more sources

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

Известия 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 $A_5$

Известия 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

A dichotomy property for locally compact groups [PDF]

, 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, Hernández, Salvador, Tárrega, Luis   +2 more
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On Shunkov Groups Saturated with Finite Groups

Известия 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

Strings of group endomorphisms [PDF]

, 2010
Recently the strings and the string number of self-maps were used in the computation of the algebraic entropy of special group endomorphisms. We introduce two special kinds of strings, and their relative string numbers. We show that a dichotomy holds for
ANNA GIORDANO BRUNO, Ayatollah Zadeh Shirazi F., DIKRAN DIKRANJAN, Fuchs L., SIMONE VIRILI   +4 more
core   +2 more sources

Structure of Finite-Dimensional Protori

Axioms, 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

Derived Subgroups of Fixed Points in Profinite Groups [PDF]

, 2011
The main result of this paper is the following theorem. Let q be a prime, A an elementary abelian group of order q^3. Suppose that A acts as a coprime group of automorphisms on a profinite group G in such a manner that C_G(a)' is periodic for each ...
Acciarri, C., Lima, A. de Souza, Shumyatsky, P.   +2 more
core   +1 more source

Characterized subgroups of topological abelian groups [PDF]

, 2015
A subgroup $H$ of a topological abelian group $X$ is said to be characterized by a sequence $\mathbf v =(v_n)$ of characters of $X$ if $H=\{x\in X:v_n(x)\to 0\ \text{in}\ \mathbb T\}$.
Bruno, Anna Giordano, Dikranjan, Dikran, Impieri, Daniele   +2 more
core   +3 more sources