Let G be a finite primitive permutation group on set Ω and recall that the fixed point ratio of an element x∈G, denoted fpr(x), is proportion points in by x. Fixed ratios this setting have been studied for many decades, finding wide range applications. In paper, we are interested comparing fpr(x) with order Our main theorem provides classification triples (G,Ω,x) as above property x has prime r...

the distinction between primitive predication and common predication is applied to solve some problems in islamic philosophy, some of which are incorrect in our point of view. some of the problems contain paradoxes and some others include independent philosophical discussions: 1. stating about absolute non-existents, 2. problems of subjective existence, 3. liar paradox and russell’s paradox, 4....

Abstract In this paper, we propose a refinement of Sims’ conjecture concerning the cardinality point stabilizers in finite primitive groups, and make some progress towards refinement. process, when dealing with groups diagonal type, construct group ???? on ? two distinct points ?,?</m:mro...

This paper presents automatic methods to extract and reconstruct industrial site pipe-runs from large-scale point clouds. We observe three key characteristics in this modeling problem, namely, primitives, similarities, and joints. While primitives capture the dominant cylindric shapes, similarities reveal the inter-primitive relations intrinsic to industrial structures because of human design a...

Let $G$ be a permutation group on set $\Omega$. A base for is subset of $\Omega$ whose pointwise stabiliser trivial, and the size minimal cardinality base. If has $2$, then corresponding Saxl graph $\Sigma(G)$ vertex two vertices are adjacent if they form $G$. recent conjecture Burness Giudici states that finite primitive with property every have common neighbour. We investigate this when an af...