Permutation groups containing infinite linear groups and reducts of infinite dimensional linear spaces over the two element field

Bertalan Bodor, Kende Kalina, Csaba Szabó

Let ${\mathbb{F}}_2^{\omega }$ denote the countably infinite dimensional vector space over the two element field and $\mathrm{GL}(\omega ,2)$ its automorphism group. Moreover, let $\operato…