Results 41 to 50 of about 23,113 (304)
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
doaj +1 more source
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
openaire +2 more sources
A finiteness condition on centralizers in locally finite groups [PDF]
11 pages, submitted to an international journal.
Fernández Alcober, Gustavo Adolfo +3 more
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Centralizers of Finite p-Subgroups in Simple Locally Finite Groups [PDF]
We are interested in the following questions of B. Hartley: (1) Is it true that, in an infinite, simple locally finite group, if the centralizer of a finite subgroup is linear, then G is linear?
Kuzucuoğlu, Mahmut
core +1 more source
Large localizations of finite groups
We construct examples of localizations in the category of groups which take the Mathieu group $M_{11}$ to groups of arbitrarily large cardinality which are ``abelian up to finitely many generators''. The paper is part of a broader study on the group theoretic properties which are or are not preserved by localizations.
openaire +2 more sources
Semiprimitivity of group algebras of locally finite groups. II
Let K be a field of characteristic p > 0, let G be a locally finite group, and let K[G] denote the group algebra of G over K. In this paper we study the Jacobson radical JK[G] when G has a finite subnormal series with factors which are either p′-groups ...
Passman, D.S.
core +1 more source
Constructions of chiral polytopes of small rank [PDF]
An abstract polytope of rank n is said to be chiral if its automorphism group has precisely two orbits on the flags, such that adjacent flags belong to distinct orbits. The present paper describes a general method for deriving new finite chiral polytopes
Egon Schulte +5 more
core +1 more source
Locally (Soluble-by-Finite) Groups of Finite Rank
The authors prove the following result: A locally (soluble-by-finite) group with all locally soluble subgroups of finite rank is (locally soluble)-by-finite and of finite rank. After they have shown that the group is of finite rank the result follows from a theorem of N. S. Chernikov.
Dixon, Martyn R. +2 more
openaire +1 more source
Inert subgroups of uncountable locally finite groups [PDF]
summary:Let $G$ be an uncountable universal locally finite group.
Majcher-Iwanow, Barbara
core
On the structure of the group of autoprojectivities of a locally finite modular p-group of finite exponent [PDF]
In the description of the group of lattice automorphisms of modular groups, certain locally finite modular p-groups of finite exponent play a basic role.
ZACHER G., COSTANTINI, MAURO
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