Invariant Subspaces of Matrix Groups and Elementary-Abelian Covers of $K_{4,4}$

Boštjan Kuzman

We study lifting conditions for groups of automorphisms of the complete bipartite graph $K_{4,4}$. In particular, for $p\neq2$ a prime we construct, up to isomorphism of projections, all minimal $p$-elementary abelian covers of $K_{4,4}$ such that the respective covering projections admit a lift of some arc-transitive subgroup of Aut($K_{4,4}$).