Elements of specified order in simple algebraic groups
نویسندگان
چکیده
منابع مشابه
A Simple Classification of Finite Groups of Order p2q2
Suppose G is a group of order p^2q^2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p^2q^2 when Q and P are cyclic, three groups when Q is a cyclic and P is an elementary ablian group, p^2+3p/2+7 groups when Q is an elementary ablian group an...
متن کاملA Characterization of the Suzuki Groups by Order and the Largest Elements Order
One of the important problems in group theory is characterization of a group by a given property, that is, to prove there exist only one group with a given property. Let be a finite group. We denote by the largest order of elements of . In this paper, we prove that some Suzuki groups are characterizable by order and the largest order of elements. In fact, we prove that if is a group with an...
متن کاملAn Invariant of Simple Algebraic Groups
The Rost invariant associated with a simple simply connected algebraic group G is used to define an invariant of strongly inner forms of G. This invariant takes values in a quotient of H(k, Q/Z(2)). It is used to answer a question of Serre about groups of type E6 and to prove a generalization of Gille’s splitting criterion for groups of type E6 and E7. For G a semisimple (affine) algebraic grou...
متن کاملAlgebraic multigrid for higher-order finite elements
Two related approaches for solving linear systems that arise from a higher-order finite element discretization of elliptic partial differential equations are described. The first approach explores direct application of an algebraic-based multigrid method (AMG) to iteratively solve the linear systems that result from higher-order discretizations. While the choice of basis used on the discretizat...
متن کاملAlgebraic Multigrid for Moderate Order Finite Elements
The paper discusses algebraic multigrid (AMG) methods for the solution of large sparse linear systems arising from the discretization of scalar elliptic partial differential equations with Lagrangian finite elements of order at most 4. The resulting system matrices do not have the M-matrix property that is used by standard analyzes of classical AMG and aggregation-based AMG methods. A unified a...
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: Transactions of the American Mathematical Society
سال: 2004
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-04-03694-3