Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups
Descripción general
Resumen del artículo
The paper classifies factorizations of almost simple groups where at least one factor is solvable. It then applies this classification to characterize s-arc-transitive Cayley graphs of solvable groups, discovering that, except for cycles, all non-bipartite connected 3-arc-transitive Cayley graphs are covers of the Petersen or Hoffman-Singleton graphs.
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Posibles conflictos de intereses
None identified
Limitaciones identificadas
Explicación de la calificación
The paper presents a specialized study in group theory and graph theory, offering a classification of factorizations and characterization of Cayley graphs. While mathematically rigorous, its impact is primarily confined to the theoretical realm. The paper lacks broader implications and does not present significant methodological innovation, thus warranting an average rating.
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