3009

2867

كارشناسي ارشد

رياضي محض

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

1384

نه، 99، [I]ص.: جدول

1396/01/29

كتابنامه

علوم رياضي

رياضي

ID2867

به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي

Abstract If n is an integer then 1r n is the set of prime divisors of n and if G is a finite group 1r is G defined to be 1r IGI The prime graph r G of group G is a graph whose vertex set is 1r G and two distinct primes p and q are linked by an edge if and if G contins an element of order pq Let 1ri i 1 2 t G be the connected components of r G then IGI can be expressedas a product of some positive integers mi i r t G with 1r mi 1ri The integers m s are called the order components of G The set of order components of G will be denoted by OC G If the order of G is even we will assumethat m is the even component and my mt G will be the order components of G We prove that PSL 3 q can be uniquely determined by its order components where q is an prime power A main consequence our reselt is the validity of Tompson s conjecture for group of fJ 0 Of oo tJ f l I l J Irl l 1 i A

بيژن طائري

احمد حقاني

علي اكبر محمدي، عاطفه قرباني