2 papers
math.GR2025
Permutation groups, partition lattices and block structures
Marina Anagnostopoulou-Merkouri, R. A. Bailey, Peter J. Cameron
Let be a transitive permutation group on . The -invariant partitions form a sublattice of the lattice of all partitions of , having the further property that all its…
math.GR2025
The derangements subgroup in a finite permutation group and the Frobenius--Wielandt Theorem
R. A. Bailey, P. J. Cameron, N. Gavioli +1
It is known that if the derangements subgroup of a transitive non-regular permutation group is a proper subgroup, then it is a Frobenius--Wielandt kernel, and, conversely, minimal…