Geodesic
Elementary abelian covers of graphs
Journal of Algebraic Combinatorics, Tome 20 (2004) no. 1, pp. 71-97.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let $C$ mathcalC $_{ G }( X)$ be the set of all (equivalence classes of) regular covering projections of a given connected graph $X$ along which a given group $G C$ mathcalC $_{ G }( X)$, where $C$ mathcalC $_{ G }( N$ mathcalN $_{ G }( C$ mathcalC $_{ G } ^{ p }( X) C$ mathcalC $_{ G }( X)$ denote the sublattice of all regular covering projections with an elementary abelian $p$-group of covering transformations. There is an algorithm which explicitly constructs $C$ mathcalC $_{ G } ^{ p }( X)$ in the sense that, for each member of $C$ mathcalC $_{ G } ^{ p }( X)$, a concrete voltage assignment on $X$ which determines this covering up to equivalence, is generated. The algorithm uses the well known algebraic tools for finding invariant subspaces of a given linear representation of a group. To illustrate the method two nontrival examples are included.
Keywords: covering projection, lifting automorphisms, Cayley voltages, homological covering, invariant subspace, lattice, arc-transitive graph, semisymmetric graph, dipole, heawood graph 
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     title = {Elementary abelian covers of graphs},
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Malnič, Aleksander; Marušič, Dragan; Potočnik, Primož. Elementary abelian covers of graphs. Journal of Algebraic Combinatorics, Tome 20 (2004) no. 1, pp. 71-97. http://geodesic.mathdoc.fr/item/JAC_2004__20_1_a1/