Results 31 to 40 of about 365,665 (290)

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

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

Nilpotent $p$-local finite groups

open access: yes, 2011
In this paper we prove characterizations of $p$-nilpotency for fusion systems and $p$-local finite groups that are inspired by results in the literature for finite groups. In particular, we generalize criteria by Atiyah, Brunetti, Frobenius, Quillen, Stammbach and Tate.
Cantarero, J., Scherer, J., Viruel, A.
openaire   +4 more sources

Complete Universal Locally Finite Groups [PDF]

open access: yesTransactions of the American Mathematical Society, 1978
This paper will partly strengthen a recent application of model theory to the construction of sets of pairwise nonembeddable universal locally finite groups [8]. Our result is Theorem. There is a set U \mathcal {U} of 2 ℵ 1
openaire   +2 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

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

Trees, contraction groups, and Moufang sets [PDF]

open access: yes, 2012
We study closed subgroups $G$ of the automorphism group of a locally finite tree $T$ acting doubly transitively on the boundary. We show that if the stabiliser of some end is metabelian, then there is a local field $k$ such that $\mathrm{PSL}_2(k) \leq G
De Medts, Pierre-emmanuel Caprace, Tom
core   +3 more sources

ON LOCAL FINITENESS OF PERIODIC RESIDUALLY FINITE GROUPS [PDF]

open access: yesProceedings of the Edinburgh Mathematical Society, 2002
AbstractLet $G$ be a periodic residually finite group containing a nilpotent subgroup $A$ such that $C_G(A)$ is finite. We show that if $\langle A,A^g\rangle$ is finite for any $g\in G$, then $G$ is locally finite.AMS 2000 Mathematics subject classification: Primary ...
Kuzucuoğlu, Mahmut, Shumyatsky, Pavel
openaire   +1 more source

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

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