پديد آورنده :
حميدي، محمد
عنوان :
گراف اول گروه هاي ساده
مقطع تحصيلي :
كارشناسي ارشد
محل تحصيل :
اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي
صفحه شمار :
نه، 99، [I]ص.: جدول
استاد راهنما :
بيژن طائري
استاد داور :
علي اكبر محمدي، عاطفه قرباني
تاريخ ورود اطلاعات :
1396/01/29
چكيده فارسي :
به فارسي و انگليسي: قابل رويت در نسخه ديجيتالي
چكيده انگليسي :
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
استاد راهنما :
بيژن طائري
استاد داور :
علي اكبر محمدي، عاطفه قرباني
