On the combinatorics of Young-Capelli symmetrizers.
On the compositum of all degree extensions of a number field
We study the compositum of all degree extensions of a number field in a fixed algebraic closure. We show contains all subextensions of degree less than if and only if . We prove that for there is no bound on the degree of elements required to generate finite subextensions of . Restricting to Galois subextensions, we prove such a bound does not exist under certain conditions on divisors of , but that one can take when is prime. This question was inspired by work of Bombieri and...
On the computation of resolvents and Galois groups.
On the Degrees of Primitive Permutation Groups.
On the dimension of finite permutation group actions.
On the Dimensions of Automorphism Groups of Eight-Dimensional Double Loops.
On the dimensions of automorphism groups of four-dimensional double loops.
On the excedance number of colored permutation groups.
On the Livingstone-Wagner theorem.
On the maximal order in and
On the maximal subgroups of the finite classical groups.
On the normalizer of a group in the Cayley representation.
On the number of permutations arising from a problem in cell-biology.
On the number of rim hook tableaux
On the orbits of Singer groups and their subgroups.
On the Order of Doubly Transitive Permutation Groups.
On the order of transitive permutation groups with cyclic point-stabilizer
If is a transitive permutation group of degree with cyclic point-stabilizer, then the order of is at most .
On the permutation products of manifolds.
On the Point Stabilizer in a Primitive Permutation Group.
On the proof of a theorem of Pálfy.