Simple Groups with Prescribed Local Structure
نویسندگان
چکیده
منابع مشابه
Local Fusion Graphs and Sporadic Simple Groups
For a group G with G-conjugacy class of involutions X, the local fusion graph F(G,X) has X as its vertex set, with distinct vertices x and y joined by an edge if, and only if, the product xy has odd order. Here we show that, with only three possible exceptions, for all pairs (G,X) with G a sporadic simple group or the automorphism group of a sporadic simple group, F(G,X) has diameter 2.
متن کاملSimple Eco-Grammar Systems with Prescribed Teams
The notion of teams in grammar systems is applied to a restriction of eco-grammar systems, called simple eco-grammar systems. These systems were introduced by motivations coming from Artiicial Life and (thus) consist of an environment in the form of a Lindenmayer system and agents working on this environment by context-free productions. Several diierent ways of forming teams of agents, with dii...
متن کاملSimple groups with the same prime graph as $D_n(q)$
Vasil'ev posed Problem 16.26 in [The Kourovka Notebook: Unsolved Problems in Group Theory, 16th ed.,Sobolev Inst. Math., Novosibirsk (2006).] as follows:Does there exist a positive integer $k$ such that there are no $k$ pairwise nonisomorphicnonabelian finite simple groups with the same graphs of primes? Conjecture: $k = 5$.In [Zvezdina, On nonabelian simple groups having the same prime graph a...
متن کاملNumerical solution of higher index DAEs using their IAE's structure: Trajectory-prescribed path control problem and simple pendulum
In this paper, we solve higher index differential algebraic equations (DAEs) by transforming them into integral algebraic equations (IAEs). We apply collocation methods on continuous piece-wise polynomials space to solve the obtained higher index IAEs. The efficiency of the given method is improved by using a recursive formula for computing the integral part. Finally, we apply the obtained algo...
متن کاملIrreducible cuspidal representations with prescribed local behavior
Let G be a simple algebraic group defined over the global field k. In this paper, we use the simple trace formula to determine the sum of the multiplicities of the irreducible representations in the cuspidal spectrum of G, with specified local behavior at a finite set of places of k and unramified elsewhere. This sum is expressed as the product of the values of modified Artin L-functions at neg...
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: Rendiconti del Seminario Matematico della Università di Padova
سال: 2010
ISSN: 0041-8994
DOI: 10.4171/rsmup/124-13