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· 2010 · arXiv 2010.558702

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math.GR 1

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2024 1

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UNVERDICTED 1

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Engel and co-Engel graphs of finite groups

math.GR · 2024-08-07 · unverdicted · novelty 7.0

Defines Engel digraphs on groups, proves every finite digraph is an induced subdigraph of some Engel digraph, and classifies finite non-Engel groups whose co-Engel induced subgraphs have clique number at most 4 and are toroidal or projective.

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  • Engel and co-Engel graphs of finite groups math.GR · 2024-08-07 · unverdicted · none · ref 4

    Defines Engel digraphs on groups, proves every finite digraph is an induced subdigraph of some Engel digraph, and classifies finite non-Engel groups whose co-Engel induced subgraphs have clique number at most 4 and are toroidal or projective.