A general characterization of the tits simple group
نویسندگان
چکیده
منابع مشابه
A NEW CHARACTERIZATION OF SIMPLE GROUP G 2 (q) WHERE q ⩽ 11
Let G be a finite group , in this paper using the order and largest element order of G we show that every finite group with the same order and largest element order as G 2 (q), where q 11 is necessarily isomorphic to the group G 2 (q)
متن کاملA characterization of the symmetric group of prime degree
Let $G$ be a finite group and $Gamma(G)$ the prime graph of $G$. Recently people have been using prime graphs to study simple groups. Naturally we pose a question: can we use prime graphs to study almost simple groups or non-simple groups? In this paper some results in this respect are obtained and as follows: $Gcong S_p$ if and only if $|G|=|S_p|$ and $Gamma(G)=Gamma(S_p)$, whe...
متن کاملthe relationship between academic self-concept and academic achievement in english and general subjects of the students of high school
according to research, academic self-concept and academic achievement are mutually interdependent. in the present study, the aim was to determine the relationship between the academic self-concept and the academic achievement of students in english as a foreign language and general subjects. the participants were 320 students studying in 4th grade of high school in three cities of noor, nowshah...
( 2 , 3 , t ) - Generations for the Tits simple group 2 F 4 ( 2 ) ′
A group G is said to be (2, 3, t)-generated if it can be generated by two elements x and y such that o(x) = 2, o(y) = 3 and o(xy) = t. In this paper, we determine (2, 3, t)-generations for the Tits simple group T ∼= F4(2) where t is divisor of |T|. Most of the computations were carried out with the aid of computer algebra system GAP [17]. Key–Words: Tits group F4(2), simple group, (2, 3, t)-gen...
متن کاملBroué’s Abelian Defect Group Conjecture for the Tits Group
In this paper we prove that Broué’s abelian defect group conjecture holds for the Tits group F4(2) . Also we prove that under certain conditions we are able to lift derived equivalences and use this to prove Broué’s conjecture for the group F4(2).
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1980
ISSN: 0021-8693
DOI: 10.1016/0021-8693(80)90138-6