User Portlet

My research activities: Towers of p-class fields with non-abelian higher p-class groups as Galois groups, Golod-Shafarevich cohomology theory, generator rank and relation rank of p-groups, Galois action, Schur sigma-groups and generalizations, bivariate polynomial ideals as annihilator modules of the main commutator of two-generated metabelian p-groups, uniserial p-adic space groups, infinite pro-p groups, coclass graphs of finite p-groups, periodicity of pruned branches of coclass trees, parametrized presentations for infinite sequences of p-groups, p-group generation algorithm, quadratic, cubic, quartic, quintic, dihedral, metacyclic and Frobenius extensions of algebraic number fields, Voronoi's algorithms for computing lattice minima, fundamental systems of units and class group structure, multiplicities of discriminants, ring and ray class fields, differential principal factorizations and ambiguous principal ideals.