PRIME GRAPH COMPONENTS OF FINITE SIMPLE GROUPS 论文

摘要

Let G be a finite group and π(G) the set of prime factors of its order. The prime graph of G is the graph with vertex-set π(G), two vertices p and q being joined by an edge whenever G contains an element of order pq. This article contains an explicit description of the primes in each of the connected components of the prime graphs of the finite simple groups of Lie type of even characteristic. This solves question 9.16 of the Kourovka Notebook. Bibliography: 15 titles.