Linear groups with minimality condition for some infinite-dimensional subgroups

  • M. R. Dixon
  • M. J. Evans
  • L. A. Kurdachenko


Let $F$ be a field, let $A$ be a vector space over $F$, and let $GL(F, A)$ be the group of all automorphisms of the space $A$. If $H$ is a subgroup of $GL(F, A)$, then we set aug $\dim_F (H) = \dim_F (A(ωFH))$, where $ωFH$ is the augmentation ideal of the group ring $FH$. The number ${\rm{aug} \dim}_F (H)$ is called the augmentation dimension of the subgroup $H$. In the present paper, we study locally solvable linear groups with minimality condition for subgroups of infinite augmentation dimension.
How to Cite
Dixon, M. R., M. J. Evans, and L. A. Kurdachenko. “Linear Groups With Minimality Condition for Some Infinite-Dimensional Subgroups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 11, Nov. 2005, pp. 1476–1489,
Research articles