We investigate properties of finite transitive permutation groups ( G, Omega) in which all proper subgroups of G act intransitively on Omega. In particular, we are interested in reduction theorems for minimally transitive representations of solvable groups.
DALLA VOLTA, F., Siemons, J. (2007). On solvable minimally transitive permutation groups. DESIGNS, CODES AND CRYPTOGRAPHY, 44(1-3), 143-150 [10.1007/s10623-007-9078-1].
On solvable minimally transitive permutation groups
DALLA VOLTA, FRANCESCA;
2007
Abstract
We investigate properties of finite transitive permutation groups ( G, Omega) in which all proper subgroups of G act intransitively on Omega. In particular, we are interested in reduction theorems for minimally transitive representations of solvable groups.
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