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Characterising CCA Sylow cyclic groups whose order is not divisible by four
Morgan, Luke ; Morris, Joy ; Verret, Gabriel
Cayleyev graf grupe ▫$G$▫ ima naravno barvanje povezav. Takšen graf imenujemo CCA graf, če je vsak avtomorfizem grafa, ki ohranja to barvanje povezav, element normalizatorja regularne representacije ...grupe ▫$G$▫. Grupi ▫$G$▫ pravimo CCA grupa, če je vsak povezan Cayleyev graf grupe ▫$G$▫ CCA graf. Naš glavni rezultat je karakterizacija ne-CCA grafov grup, ki so sylowske ciklične grupe in katerih red ni deljiv s štiri. Podamo tudi številne nove konstrukcije ne-CCA grafov.
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