Francesca Dalla Volta, Johannes Siemons
Abstract
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We investigate properties of finite transitive permutation groups $(G, Ω)$ in which all proper subgroups of $G$ act intransitively on $Ω.$ In particular, we are interested in reduction theorems for minimally transitive representations of solvable groups.
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We investigate properties of finite transitive permutation groups $(G, Ω)$ in which all proper subgroups of $G$ act intransitively on $Ω.$ In particular, we are interested in reduction theorems for minimally transitive representations of solvable groups.
Key concepts: Transitive relation, Permutation group, Permutation (music), Mathematics, Primitive permutation group, Combinatorics, Cyclic permutation, Reduction (mathematics)