Let F be a field and A an (infinite dimensional) vector space over F. A group G of linear
transormations of A is said to be finitary linear if for each element g 2 G the centralizer CA (g) …

Linear Groups: The Accent on Infinite Dimensionality explores some of the main results and
ideas in the study of infinite-dimensional linear groups. The theory of finite dimensional …

Abstract Let\(F\) be a field,\(A\) be a vector space over\(F\) and\(G\) be a subgroup
of\(\mathrm {GL}(F, A)\). We say that\(G\) has a dense family of subgroups, having finite …

Trends in infinite dimensional linear groups Page 285 TRENDS IN INFINITE DIMENSIONAL
LINEAR GROUPS MARTYN R. DIXON*, LEONID A. KURDACHENKO, JOSE M. MUÑOZ-ESCOLANO …

Let V be a vector space over the field F. If G is a subgroup of GL (V, F), then we define the
central dimension of G (denoted by centdim FG) as the F–dimension of the factor-space …

Let F be a field, A be a vector space over F, and G be a subgroup of GL (F, A). We say that G
has a dense family of subgroups having finite central dimension, if, for every pair of …

We review some recent results on the structure of infinite dimensional linear groups
satisfying some finiteness conditions on certain families of subgroups. This direction of …

In this paper we present a synopsis of some recent results concerned with infinite
dimensional liner groups, including generalizations of irreducibility, the central dimension of …

Let V be a vector space over a field F. A linear group is a subgroup G of the general linear
group GL (V, F) of V over F, the group of all F–automorphisms of V under composition. Since …

Let F be a field, A be a vector space over F, GL (F, A) be the group of all automorphisms of
the vector space A. A subspace B of A is called nearly G-invariant, if dim F (BFG/B) is finite. A …