Results 71 to 80 of about 100 (95)

Endomorphisms of automorphism groups of free groups

Algebra and Logic, 2005
Summary: It is proved that any non-trivial endomorphism of the automorphism group \(\Aut F_n\) of a free group \(F_n\), for \(n\geq 3\), either is an automorphism or factorization over a proper automorphism subgroup. An endomorphism of \(\Aut F_2\) is an automorphism, or else a homomorphism onto one of the groups \(S_3\), \(D_8\), \(Z_2\times Z_2 ...
openaire   +1 more source

AUTOMORPHISM GROUPS OF ENDOMORPHISM MONOIDS OF FREE G-SETS

Asian-European Journal of Mathematics, 2014
Let G be a group. A G-set is a nonempty set A together with a (right) action of G on A. The class of G-sets, viewed as unary algebras, is a variety. For a set X, let AG(X) be the free algebra on X in the variety of G-sets. We determine the group of automorphisms of End (AG(X)), the monoid of endomorphisms of AG(X).
openaire   +1 more source

Crossed Products by Semigroups of Endomorphisms and Groups of Partial Automorphisms

Canadian Mathematical Bulletin, 2003
AbstractWe consider a class (A; S; α) of dynamical systems, where S is an Ore semigroup and α is an action such that each αs is injective and extendible (i.e. it extends to a non-unital endomorphism of the multiplier algebra), and has range an ideal of A.
openaire   +2 more sources

On automorphisms and endomorphisms of Abelian groups

1962
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Automorphism Groups and Endomorphism Semigroups of Groups B(m, n)

Algebra and Logic, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Partial automorphisms and injective partial endomorphisms of a finite undirected path

Semigroup Forum, 2021
Ilinka Dimitrova, Vitor Hugo Fernandes
exaly  

Endomorphisms of the Riordan group

Linear and Multilinear Algebra, 2021
Pasquale Petrullo, Domenico Senato
exaly  

Automorphisms and endomorphisms of first-order structures [PDF]

, 2017
In this thesis, we consider questions relating to automorphisms and endomorphisms of countable, relational first-order structures M, with a particular emphasis on bimorphism monoids. We determine semigroup-theoretic results for three types of endomorphism monoid onM, along with generation results whenMis the random graph R or the discrete linear order (
openaire  

Automorphisms and Endomorphisms

1976
openaire   +1 more source

Localized Automorphisms and Endomorphisms

Communications in Mathematics and Applications
openaire   +1 more source