Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Almost simple groups with Socle $G_2(q)$ acting on finite linear spaces

Document Type : Research Paper

Authors
1 School of Mathematical Sciences Suzhou University Suzhou, 215006 China
2 School of Mathematics, Central South University, Changsha, P. R. China
Abstract
 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.
Keywords
Subjects

  • Receive Date 09 April 2013
  • Revise Date 23 March 2014
  • Accept Date 02 April 2014