Results 31 to 40 of about 580,983 (269)
On the Existence of $f$-local Subgroups in a Group with Finite Involution
An $f$-local subgroup of an infinite group is each its infinite subgroup with a nontrivial locally finite radical. An involution is said to be finite in a group if it generates a finite subgroup with each conjugate involution.
A.I. Sozutov, M. V. Yanchenko
doaj +1 more source
On groups satisfying the double chain condition on nonascendant subgroups [PDF]
If $\theta$ is a subgroup property, a group $G$ is said to satisfy the double chain condition on $\theta$-subgroups if it admits no infinite double chain ...
Jia Zhang
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Some remarks about groups of finite special rank [PDF]
The paper presents some results about groups of finite special and section ranks. For instance, among others, it was proved that if every locally (soluble minimax) subgroup of a generalized radical group G has finite special rank, then G has finite ...
L.A. Kurdachenko +2 more
doaj +1 more source
Sur l'existence du sch\'ema en groupes fondametal [PDF]
Let $S$ be a Dedekind scheme, $X$ a connected $S$-scheme locally of finite type and $x\in X(S)$ a section. The aim of the present paper is to establish the existence of the fundamental group scheme of $X$, when $X$ has reduced fibers or when $X$ is ...
Marco Antei +2 more
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Sylowizers in Locally Finite Groups [PDF]
A result of W. Gaschütz for finite soluble groups is extended to two classes of locally finite, locally soluble groups.
openaire +1 more source
Extensions of $p$-local finite groups [PDF]
A p-local finite group consists of a finite p-group S, together with a pair of categories which encode ``conjugacy'' relations among subgroups of S, and which are modelled on the fusion in a Sylow p-subgroup of a finite group. It contains enough information to define a classifying space which has many of the same properties as p-completed classifying ...
Broto, Carles +4 more
openaire +3 more sources
Measure equivalence rigidity of the mapping class group [PDF]
We show that the mapping class group of a compact orientable surface with higher complexity has the following extreme rigidity in the sense of measure equivalence: if the mapping class group is measure equivalent to a discrete group, then they are ...
Anantharaman-Delaroche +22 more
core +4 more sources
$p$-local finite group cohomology [PDF]
We study cohomology for $p$-local finite groups with non-constant coefficient systems. In particular we show that under certain restrictions there exists a cohomology transfer map in this context, and deduce the standard consequences.
Levi, Ran, Ragnarsson, Kári
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Discrete subgroups of locally definable groups [PDF]
We work in the category of locally definable groups in an o-minimal expansion of a field. Eleftheriou and Peterzil conjectured that every definably generated abelian connected group G in this category is a cover of a definable group.
Berarducci, Alessandro +2 more
core +4 more sources
A local approach to a class of locally finite groups [PDF]
This paper is devoted to the study of a class of generalised P-nilpotent groups in the universe cℒ̄ of all radical locally finite groups satisfying min-q for every prime q. Some results of finite groups are extended and a characterisation of the injectors associated with this class is given.
Ballester-Bolinches, A. +1 more
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