Journal:
:bulletin of the iranian mathematical society0
y. wang department of mathematics, south china university of technology, 510640, guangzhou, china. s. zhou department of mathematics, south china university of technology, 510640, guangzhou, china.
let $g$ be an automorphism group of a $2$-$(v,k,4)$ symmetric design $mathcal d$. in this paper, we prove that if $g$ is flag-transitive point-primitive, then the socle of $g$ cannot be an exceptional group of lie type.
Journal:
:Hacettepe journal of mathematics and statistics2021
Let $R$ be a ring with identity and $I(X,R)$ the incidence of locally finite partially ordered set $X$ over $R.$ In this paper, we compute socle singular ideal for some in terms $R$, respectively.
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.
