The following result is established: Given a group $H$, there exists
an $r$-regular graph $G$ such that every subgroup of $H$ (including $H$
itself) is isomorphic to the group $\Aut(G,\varphi)$ of all automorphisms
preserving a certain proper $r$-edge-colouring $\varphi$ of $G$. If the
group is finite, so is the graph.
%0 Journal Article
%1 baumann:1997-2
%A Baumann, Ulrike
%D 1997
%J Math. Nachr.
%K 1997 baumann publication
%P 17-22
%T Representing groups by colourings of graphs.
%V 188
%X The following result is established: Given a group $H$, there exists
an $r$-regular graph $G$ such that every subgroup of $H$ (including $H$
itself) is isomorphic to the group $\Aut(G,\varphi)$ of all automorphisms
preserving a certain proper $r$-edge-colouring $\varphi$ of $G$. If the
group is finite, so is the graph.
@article{baumann:1997-2,
abstract = {{The following result is established: Given a group $H$, there exists
an $r$-regular graph $G$ such that every subgroup of $H$ (including $H$
itself) is isomorphic to the group $\Aut(G,\varphi)$ of all automorphisms
preserving a certain proper $r$-edge-colouring $\varphi$ of $G$. If the
group is finite, so is the graph.}},
added-at = {2010-02-26T12:42:22.000+0100},
author = {Baumann, Ulrike},
biburl = {https://www.bibsonomy.org/bibtex/294cf43a0dfc9baed13a5d96503d197f9/algebradresden},
interhash = {f643ca0664f180adf4e02264e0f0638e},
intrahash = {94cf43a0dfc9baed13a5d96503d197f9},
journal = {Math. Nachr. },
keywords = {1997 baumann publication},
pages = {17-22},
timestamp = {2010-02-26T12:42:22.000+0100},
title = {{Representing groups by colourings of graphs.}},
volume = 188,
year = 1997
}