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  • Action graphs and coverings
    Malnič, Aleksander
    An action graph is a combinatorial representation of a group acting on a set. Comparing two group actions by a morphism of actions induces a covering projection of the respective graphs. This simple ... observation generalizes and unifies many well-known results in graph theory, with applications ranging from the theory of maps on surfaces and group presentations to theoretical computer science, among others. Reconstruction of action graphs from smaller ones is considered, some results on lifting and projecting the equivariant group of automorphisms are proved, and a special case of the split-extension structure of lifted groups is studied. Action digraphs in connection with group presentations are also discussed.
    Vir: Preprint series. - ISSN 1318-4865 (Vol. 38, [št.] 698, 2000, str. 1-25)
    Vrsta gradiva - članek, sestavni del
    Leto - 2000
    Jezik - angleški
    COBISS.SI-ID - 9610329

vir: Preprint series. - ISSN 1318-4865 (Vol. 38, [št.] 698, 2000, str. 1-25)

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