Point-primitive linear spaces with number of points being a product of two primes

Alternating groups and point‐primitive linear spaces with number of points being squarefree

“…In the proof of Theorem 1.1, our main tool is the following lemma. Lemma 2.2 (Guan and Zhou [7,Lemma 2.4]). Let    = ( , ) be a nontrivial finite linear space,  ≤ G Aut( ) be point-transitive, and α ( , ℓ) be a flag.…”

“…Our motivation is to explore the theory of finite point‐primitive linear spaces without the restriction of line‐transitive. In [7, 8], we give the classification of these linear spaces when the number of points is $$pq$$ and $$2pq$$, respectively, where $$p,q$$ are prime. As an extension of these results, we focus on the point‐primitive linear spaces with the number of points being squarefree.…”