Action-type axiomatizable classes of group representations

Action-type axiomatizable classes of group representations

The paper adjoins the book [PV] and turns to be, in a sense, its continuation. In the book the varieties of representations had been considered. In the matter of fact, the varieties under consideration are action-type varieties. This paper studies other classes of representations, axiomatizable in the special action-type logic. 1 Background (preliminaries)

Deformation of Outer Representations of Galois Group

To a hyperbolic smooth curve defined over a number-field one naturally associates an "anabelian" representation of the absolute Galois group of the base field landing in outer automorphism group of the algebraic fundamental group. In this paper, we introduce several deformation problems for Lie-algebra versions of the above representation and show that, this way we get a richer structure than t...

Profinite Chern Classes for Group Representations

QUASI-PERMUTATION REPRESENTATIONS OF SUZtTKI GROUP

By a quasi-permutation matrix we mean a square matrix over the complex field C with non-negative integral trace. Thus every permutation matrix over C is a quasipermutation matrix. For a given finite group G, let p(G) denote the minimal degree of a faithful permutation representation of G (or of a faithful representation of G by permutation matrices), let q(G) denote the minimal degree of a fai...

WITT CLASSES OF INTEGRAL REPRESENTATIONS OF AN ABELIAN p-GROUP