Groupes de Lie p-adiques et ramification
Groupes de Picard et problèmes de Skolem. I
Groupes de Picard et problèmes de Skolem. II
Groupes de Picard et séries formelles
Groupes henséliens
Groupoids and the Brauer group
Groups with large Noether bound
The finite groups having an indecomposable polynomial invariant of degree at least half the order of the group are classified. It turns out that –apart from four sporadic exceptions– these are exactly the groups with a cyclic subgroup of index at most two.
Growth of Betti Numbers over Noetherian Local Rings.
Growth orders occurring in expansions of Hardy-field solutions of algebraic differential equations
Growth orders occurring in expansions of Hardy-field solutions of algebraic differential equations
We consider the asymptotic growth of Hardy-field solutions of algebraic differential equations, e.g. solutions with no oscillatory component, and prove that no ‘sub-term’ occurring in a nested expansion of such can tend to zero more rapidly than a fixed rate depending on the order of the differential equation. We also consider series expansions. An example of the results obtained may be stated as follows.Let be an element of a Hardy field which has an asymptotic series expansion in , and ,...