شماره ركورد كنفرانس :
4329
عنوان مقاله :
Nse Characterization of the Chevalley group G2(5)
پديدآورندگان :
Jahandideh Maryam M.jahandideh@mhriau.ac.ir Department of Mathematics, Mahshahr Branch, Islamic Azad University, Mahshahr, Iran
كليدواژه :
Element order , Thompsons problem , Number of elements of the same order.
عنوان كنفرانس :
نهمين كنفرانس ملي نظريه گروههاي ايراني
چكيده فارسي :
Let G be a group and w(G) = {o(g)│g ∈ G} be the set of element orders of G. Let k ∈ w(G) and
sk =│{g ∈ G│o(g) = k}│. Let nse(G) = P{sk│k ∈ ω(G)}. In this paper, we prove that if G is a group
and G2(5) is the chevalley simple group of type G2 over GF(5) such that nse(G) = nsae(G2(5)),
then G ≡ G2(5).
