Let G be a finite almost simple classical group and let ? be a faithful primitive non-standard G-set. A base for G is a subset B C_ ? whose pointwise stabilizer is trivial; we write b(G) for the minimal size of a base for G. A well-known conjecture of Cameron and Kantor asserts that there exists an absolute constant c such that b(G) ? c for all such groups G, and the existence of such an undetermined constant has been established by Liebeck and Shalev. In this paper we prove that either b(G) ? 4, or G = U6(2).2, G? = U4(3).22 and b(G) = 5. The proof is probabilistic, using bounds on fixed point ratios
AbstractA base B for a finite permutation group G acting on a set Ω is a subset of Ω with the proper...
Let V be a vector space of dimension d over Fq, a finite field of q elements, and let G≤GL (V)∼=GLd(...
AbstractThis is the final paper in a series of four on fixed point ratios in non-subspace actions of...
Let G be a finite almost simple classical group and let Ω be a faithful primitive non-standard G-set...
Let G be a permutation group on a finite set ?. A base for G is a subset B C_ ? whose pointwise stab...
Let G be a permutation group acting on a set . A subset of is a base for G ifits pointwise stabiliz...
A base of a permutation group G on a set is a subset B of such that the pointwise stabilizer of B in...
Let $G$ be a permutation group on a finite set $\Omega$. The base size of $G$ is the minimal size of...
This work was supported by: EPSRC Grant Numbers EP/R014604/1 and EP/M022641/1.Let G be a permutation...
AbstractThis is the first in a series of four papers on fixed point ratios in actions of finite clas...
Let G be a permutation group acting on a set Ω. A subset of Ω is a base for G if its pointwise stabi...
AbstractA base B for a finite permutation group G acting on a set Ω is a subset of Ω with the proper...
Building on earlier papers of several authors, we establish that there exists a universal constant c...
Building on earlier papers of several authors, we establish that there exists a universal constant c...
Building on earlier papers of several authors, we establish that there exists a universal constan...
AbstractA base B for a finite permutation group G acting on a set Ω is a subset of Ω with the proper...
Let V be a vector space of dimension d over Fq, a finite field of q elements, and let G≤GL (V)∼=GLd(...
AbstractThis is the final paper in a series of four on fixed point ratios in non-subspace actions of...
Let G be a finite almost simple classical group and let Ω be a faithful primitive non-standard G-set...
Let G be a permutation group on a finite set ?. A base for G is a subset B C_ ? whose pointwise stab...
Let G be a permutation group acting on a set . A subset of is a base for G ifits pointwise stabiliz...
A base of a permutation group G on a set is a subset B of such that the pointwise stabilizer of B in...
Let $G$ be a permutation group on a finite set $\Omega$. The base size of $G$ is the minimal size of...
This work was supported by: EPSRC Grant Numbers EP/R014604/1 and EP/M022641/1.Let G be a permutation...
AbstractThis is the first in a series of four papers on fixed point ratios in actions of finite clas...
Let G be a permutation group acting on a set Ω. A subset of Ω is a base for G if its pointwise stabi...
AbstractA base B for a finite permutation group G acting on a set Ω is a subset of Ω with the proper...
Building on earlier papers of several authors, we establish that there exists a universal constant c...
Building on earlier papers of several authors, we establish that there exists a universal constant c...
Building on earlier papers of several authors, we establish that there exists a universal constan...
AbstractA base B for a finite permutation group G acting on a set Ω is a subset of Ω with the proper...
Let V be a vector space of dimension d over Fq, a finite field of q elements, and let G≤GL (V)∼=GLd(...
AbstractThis is the final paper in a series of four on fixed point ratios in non-subspace actions of...