Groups with triangle‐free graphs on p$p$‐regular classes
Copyright policy )Groups with triangle‐free graphs on p$p$‐regular classes
AbstractLet be a prime. In this paper, we classify the ‐structure of those finite ‐separable groups such that, given any three non‐central conjugacy classes of ‐regular elements, two of them necessarily have coprime lengths.
- Universitat Politècnica de València Spain
- Universidad Autónoma de Santo Domingo Dominican Republic
- Instituto Tecnológico de Santo Domingo Dominican Republic
Common divisor graph, triangle-free graph, Frobenius group, Group Theory (math.GR), 20E45, 20D20, P-regular elements, Finite groups, Graphs and abstract algebra (groups, rings, fields, etc.), Conjugacy classes, General structure theorems for groups, \(p\)-regular element, FOS: Mathematics, \(p\)-separable group, common divisor graph, conjugacy class, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups, Triangle-free graph
Common divisor graph, triangle-free graph, Frobenius group, Group Theory (math.GR), 20E45, 20D20, P-regular elements, Finite groups, Graphs and abstract algebra (groups, rings, fields, etc.), Conjugacy classes, General structure theorems for groups, \(p\)-regular element, FOS: Mathematics, \(p\)-separable group, common divisor graph, conjugacy class, Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups, Triangle-free graph
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