Results 61 to 70 of about 209 (119)

Direct products of free groups in Aut(F_N)

open access: yes
We give a complete description of the embeddings of direct products of nonabelian free groups into Aut(FN) and Out(FN) when the number of direct factors is maximal.
Bridson, Martin R, Wade, Richard
core   +1 more source

On the girth of finitely generated groups

open access: yes, 2003
We study the notion of girth for finitely generated groups. It is proved that if the girth is ‘small’ then the group necessarily satisfies a law. A general construction is presented which provides examples of groups with infinite girth not containing ...
Akhmedov, Azer
core   +1 more source

On minimal finite factor groups of outer automophism groups of free groups

open access: yes, 2010
We prove that, for n=3 and 4, the minimal nonabelian finite factor group of the outer automorphism group Out F_n of a free group of rank n is the linear group PSL_n(Z_2) (conjecturally, this may remain true for arbitrary rank n > 2).
ZIMMERMANN, BRUNO, MECCHIA, MATTIA
core  

Restriction Problem for Anisotropic Principal Series of Free Groups

open access: yes, 1996
LetΓ0be a nonabelian free group and letπbe an anisotropic principal series representation ofΓ0. Exclude endpoint representations. Consider the restriction ofπto any cofinite subgroup.
Pensavalle, Carlo, Steger, Tim
core   +1 more source

Algebraic & definable closure in free groups

open access: yes, 2011
We study algebraic closure and its relation with definable closure in free groups and more generally in torsion-free hyperbolic groups. Given a torsion-free hyperbolic group G and a nonabelian subgroup A of G, we describe G as a constructible group from ...
Vallino, D., Ould Houcine, Abderezak
core   +1 more source

The Tarski Theorems and Elementary Free Groups (Algebras, logics, languages and related areas) [PDF]

open access: yes, 2018
Around 1945, Alfred Tarski proposed several questions concerning the elementary theory of non-abelian free groups. These remained open for 60 years until they were proved by O. Kharlampovich and A. Myasnikov and independently by Z. Sela.
Fine, Benjamin
core  

Rings of congruence preserving functions. [PDF]

open access: yesMon Hefte Math, 2018
Maxson CJ, Saxinger F.
europepmc   +1 more source

Fixed-point free pairs of homomorphisms and nonabelian Hopf-Galois structure

open access: yes, 2012
Given finite groups Γ and G of order n, regular embeddings from Γ to the holomorph of G yield Hopf-Galois structures on a Galois extension L|K of fields with Galois group Γ.
Nigel P. Byott (21821831)   +1 more
core  

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