# 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.

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Main Subjects

### History

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