3 citations · 4 across the 11 of their papers we have counts for
5 papers · 1 filter
Abelian permutation groups with graphical representations
Mariusz Grech, Andrzej Kisielewicz
In this paper we characterize permutation groups that are automorphism groups of coloured graphs and digraphs and are abelian as abstract groups. This is done in terms of basic per…
Wreath product in automorphism groups of graphs
Mariusz Grech, Andrzej Kisielewicz
The automorphism group of the composition of graphs contains the wreath product of the automorphism groups of the corresponding graphs. The classica…
Symmetry groups of boolean functions: simple groups
Mariusz Grech, Andrzej Kisielewicz
We consider the problem of characterizing the class of those permutation groups that are the symmetry groups of Boolean functions. These are exactly the automorphism groups of hype…
Subgroups of simple primitive permutation groups defined by unordered relations (Automorphism groups of hypergraphs)
Mariusz Grech, Andrzej Kisielewicz
The problem of describing the invariance groups of unordered relations, called briefly \emph{relation groups}, goes back to classical work by H. Wielandt. In general, the problem t…
Decompositions of the authomorphism groups of edge-colored graphs into the direct product of permutation groups
Mariusz Grech
In the paper Graphical complexity of products of permutation groups, M. Grech, A. Jez, A. Kisielewicz have proved that the direct product of automorphism groups of edge-colored gra…