On Symmetric and Antisymmetric Relations.
On (t + ...)-transitive Permutation Groups.
On the automorphism group of Solomon's descent algebra.
On the automorphism group of the countable dense circular order
Let (C,R) be the countable dense circular ordering, and G its automorphism group. It is shown that certain properties of group elements are first order definable in G, and these results are used to reconstruct C inside G, and to demonstrate that its outer automorphism group has order 2. Similar statements hold for the completion C̅.
On the Automorphism Groups of Denumerable Boolean Algebras.
On the Burnside Problem for Periodic Groups.
On the Collineation Groups of Derived Semifield Planes.
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.