A Problem of W.A. Manning on Primitive Permutation Groups.
A theorem on groups
Brauer relations in finite groups
If is a non-cyclic finite group, non-isomorphic -sets may give rise to isomorphic permutation representations . Equivalently, the map from the Burnside ring to the rational representation ring of has a kernel. Its elements are called Brauer relations, and the purpose of this paper is to classify them in all finite groups, extending the Tornehave–Bouc classification in the case of -groups.
Calcul du centralisateur d'un groupe de permutations
Codes bipréfixes et groupes de permutations
Conditions of Finiteness on Sharply 2-Transitive Groups.
Crossed product of cyclic groups
All crossed products of two cyclic groups are explicitly described using generators and relations. A necessary and sufficient condition for an extension of a group by a group to be a cyclic group is given.
Des groupes transitifs de substitutions de degré et de classe
Do finite Bruck loops behave like groups?
This note contains Sylow's theorem, Lagrange's theorem and Hall's theorem for finite Bruck loops. Moreover, we explore the subloop structure of finite Bruck loops.
Equivalence classes of functions over a finite field
Equivalence classes of polynomials over finite fields
Equivalence classes of sets of functions over a finite field
Exposé d'une théorie nouvelle des substitutions
Groups of periods for arbitrary maps on groups.
Malnormal subgroups and Frobenius groups: basics and examples
Malnormal subgroups occur in various contexts. We review a large number of examples, and compare the general situation to that of finite Frobenius groups of permutations.In a companion paper [18], we analyse when peripheral subgroups of knot groups and -manifold groups are malnormal.
On Certain Maximal Subgroups of Symmetric or Alternating Groups.
On Prime Ideals in Representation Rings.
On some Jordan-Hölder-Dedekind type theorems in lattices.
On Subgroups Generated by a Root Triple.
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...