We discuss the problem of existence of finite structures (groups, linear spaces, graphs, ) with prescribed numbers of orbits of their automorphism groups on the various types of elements. © 2007 Springer Science+Business Media, LLC.SCOPUS: ar.jinfo:eu-repo/semantics/publishe
The book describes developments on some well-known problems regarding the relationship between order...
AbstractThe number of automorphisms of a structure with no uncountable orbits and at most countably ...
AbstractLetKbe a field and letXbe an abelian variety overK. The group AutXofK-automorphisms ofXacts ...
A graph X is said to represent the group G with k edge (vertex) orbits if the automorphism group of ...
AbstractThe number of automorphisms of a structure with no uncountable orbits and at most countably ...
AbstractGiven two integers ν > 0 and ϵ >/ 0, we prove that there exists a finite graph (resp. a fini...
Given two integers ν > 0 and ε{lunate} >/ 0, we prove that there exists a finite graph (resp. a fini...
Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorp...
Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorp...
Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorp...
Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorp...
Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorp...
AbstractWe address several specific aspects of the following general question: can a field K have so...
AbstractFor any finite group G, we construct a finite poset (or equivalently, a finite T0-space) X, ...
Abstract. For any finite group G, we construct a finite poset (or equivalently, a finite T0-space) X...
The book describes developments on some well-known problems regarding the relationship between order...
AbstractThe number of automorphisms of a structure with no uncountable orbits and at most countably ...
AbstractLetKbe a field and letXbe an abelian variety overK. The group AutXofK-automorphisms ofXacts ...
A graph X is said to represent the group G with k edge (vertex) orbits if the automorphism group of ...
AbstractThe number of automorphisms of a structure with no uncountable orbits and at most countably ...
AbstractGiven two integers ν > 0 and ϵ >/ 0, we prove that there exists a finite graph (resp. a fini...
Given two integers ν > 0 and ε{lunate} >/ 0, we prove that there exists a finite graph (resp. a fini...
Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorp...
Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorp...
Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorp...
Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorp...
Given two positive integers p and ¿, we prove that there exists a finite linear space whose automorp...
AbstractWe address several specific aspects of the following general question: can a field K have so...
AbstractFor any finite group G, we construct a finite poset (or equivalently, a finite T0-space) X, ...
Abstract. For any finite group G, we construct a finite poset (or equivalently, a finite T0-space) X...
The book describes developments on some well-known problems regarding the relationship between order...
AbstractThe number of automorphisms of a structure with no uncountable orbits and at most countably ...
AbstractLetKbe a field and letXbe an abelian variety overK. The group AutXofK-automorphisms ofXacts ...