scholarly journals A method of finding automorphism groups of endomorphism monoids of relational systems

2007 ◽  
Vol 307 (13) ◽  
pp. 1609-1620 ◽  
Author(s):  
João Araújo ◽  
Janusz Konieczny
Keyword(s):  
Automorphism Groups ◽  
Endomorphism Monoids ◽  
Relational Systems

AUTOMORPHISM GROUPS OF ENDOMORPHISM MONOIDS OF FREE G-SETS

2014 ◽  
Vol 07 (01) ◽  
pp. 1450015 ◽  
Author(s):  
Janusz Konieczny
Keyword(s):  
Free Algebra ◽  
Automorphism Groups ◽  
Right Action ◽  
Group Of Automorphisms ◽  
Endomorphism Monoids ◽  
Group A

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).

A note on piecewise automorphism groups of relational systems

1991 ◽  
Vol 56 (4) ◽  
pp. 343-345
Author(s):  
R�gnvaldur G. M�ller
Keyword(s):  
Automorphism Groups ◽  
Relational Systems

On a product of universal relational systems

2020 ◽  
Vol Accepted ◽  
Author(s):  
Nitima Phrommarat ◽  
Sivaree Sudsanit
Keyword(s):  
Relational Systems

Pentavalent 1-Transitive Digraphs with Non-Solvable Automorphism Groups

2020 ◽  
Vol 51 (4) ◽  
pp. 1919-1930
Author(s):  
Masoumeh Akbarizadeh ◽  
Mehdi Alaeiyan ◽  
Raffaele Scapellato
Keyword(s):  
Automorphism Groups

Using the co-existence approach to achieve combined functionality of object-oriented and relational systems

1993 ◽  
Vol 22 (2) ◽  
pp. 109-118 ◽  
Author(s):  
R. Ananthanarayanan ◽  
V. Gottemukkala ◽  
W. Kaefer ◽  
T. J. Lehman ◽  
H. Pirahesh
Keyword(s):  
Object Oriented ◽  
Relational Systems

scholarly journals Serre’s Property (FA) for automorphism groups of free products

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Naomi Andrew
Keyword(s):  
Automorphism Group ◽  
Free Product ◽  
Finite Groups ◽  
Automorphism Groups ◽  
Sufficient Conditions ◽  
Free Products ◽  
Cyclic Groups ◽  
Link Type ◽  
Open Case

AbstractWe provide some necessary and some sufficient conditions for the automorphism group of a free product of (freely indecomposable, not infinite cyclic) groups to have Property (FA). The additional sufficient conditions are all met by finite groups, and so this case is fully characterised. Therefore, this paper generalises the work of N. Leder [Serre’s Property FA for automorphism groups of free products, preprint (2018), https://arxiv.org/abs/1810.06287v1]. for finite cyclic groups, as well as resolving the open case of that paper.

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