Finite groups acting on Severi–Brauer surfaces

FINITE GROUPS ACTING ON HOMOLOGY MANIFOLDSMichael

To the memory of Olga Taussky-Todd

Fixed Points of Finite Groups Acting on Generalised Thompson Groups

We study centralisers of finite order automorphisms of the generalised Thompson groups Fn,∞ and conjugacy classes of finite subgroups in finite extensions of Fn,∞. In particular we show that centralisers of finite automorphisms in Fn,∞ are either of type FP∞ or not finitely generated. As an application we deduce the following result about the Bredon type of such finite extensions: any finite ex...

Finite Groups Acting on Surfaces as Rigid Motions of Euclidean Space

Almost simple groups with Socle $G_2(q)$ acting on finite linear spaces

 After the classification of the flag-transitive linear spaces, the attention has been turned to line-transitive linear spaces. In this article, we present a partial classification of the finite linear spaces $mathcal S$ on which an almost simple group $G$ with the socle $G_2(q)$ acts line-transitively.

Subvarieties of Moduli Space Determined by Finite Groups Acting on Surfaces

Suppose the finite group G acts as orientation preserving homeomorphisms of the oriented surface S of genus g . This determines an irreducible subvariety Jtg of the moduli space J?g of Riemann surfaces of genus g consisting of all surfaces with a group Gx of holomorphic homeomorphisms of the same topological type as G. This family is determined by an equivalence class of epimorphisms <// from a...