Results 31 to 40 of about 580,983 (269)

On the Existence of $f$-local Subgroups in a Group with Finite Involution

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2022
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]

open access: yesInternational Journal of Group Theory, 2023
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
doaj   +1 more source

Some remarks about groups of finite special rank [PDF]

open access: yesAdvances in Group Theory and Applications, 2016
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]

open access: yesÉpijournal de Géométrie Algébrique, 2020
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
doaj   +1 more source

Sylowizers in Locally Finite Groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
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]

open access: yesTransactions of the American Mathematical Society, 2007
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]

open access: yes, 2006
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]

open access: yesHomology, Homotopy and Applications, 2011
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
openaire   +3 more sources

Discrete subgroups of locally definable groups [PDF]

open access: yes, 2012
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]

open access: yesBulletin of the Australian Mathematical Society, 2003
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
openaire   +2 more sources

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