Soluble groups with few orbits under automorphisms

Locally compact groups with dense orbits under $\bm{\mathbb{Z}}^{\bm{d}}$-actions by automorphisms

We consider locally compact groups G admitting a topologically transitive Z -action by automorphisms. It is shown that such a group G has a compact normal subgroupK ofG, invariant under the action, such thatG/K is a product of (finitely many) locally compact fields of characteristic zero; moreover, the totally disconnected fields in the decomposition can be chosen to be invariant under the Z -a...

Computing automorphisms of finite soluble groups

There is a large collection of e ective algorithms for computing information about nite soluble groups. The success in computation with these groups is primarily due to a computationally convenient representation of them by means of (special forms of) power conjugate presentations. A notable omission from this collection of algorithms is an e ective algorithm for computing the automorphism grou...

Orbits of soluble in nite permutation groups

Groups with unifoml automorphisms

Finite p-groups with few non-linear irreducible character kernels

Abstract. In this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.