[PDF] Top 20 Maximal tori in finite groups of lie type
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Maximal tori in finite groups of lie type
... between the conjugacy classes of maximal tori in the finite group and certain equivalence classes in the corresponding Weyl group... result, and its consequences, is discussed in Chapter[r] ... See full document
175
First cohomology groups for finite groups of Lie type in defining characteristic
... [Gur86] Robert M. Guralnick, The dimension of the first cohomology group, Representation theory, II (Ottawa, Ont., 1984), Lecture Notes in Math., vol. 1178, Springer, Berlin, 1986, pp. 94–97. MR 842479 (87h:20095) ... See full document
13
Endotrivial modules for finite groups of Lie type A in nondefining characteristic
... a finite group and k be a field of characteristic p > ...any finite group G, tensoring with an endotrival kG-module induces a self-equivalence on the stable category of kG-modules modulo ...arbitrary ... See full document
26
Endotrivial modules for finite groups of Lie type
... for finite groups of Lie type, many of the results for p-groups are extended to arbitrary finite ...the groups of endotrivial modules of elementary abelian p-subgroups of ... See full document
25
Signalizers in groups of Lie type
... a finite group of Lie type is a subgroup of fixed points of a Frobenius endomorphism of a simple algebraic ...the finite groups of Lie type follows from the classification ... See full document
102
A note on maximal length elements in conjugacy classes of finite coxeter groups
... of finite Coxeter groups, and prin- cipally those of the irreducible finite Coxeter groups, has come from many directions, for example in the representation theory of these groups and ... See full document
10
Maximal length elements of excess zero in finite Coxeter Groups
... of finite Coxeter groups, and principally those of the irreducible finite Coxeter groups, has come from many directions, for example in the representation theory of these groups and the ... See full document
17
Maximal length elements of excess zero in Finite Coxeter Groups
... of finite Coxeter groups, and principally those of the irreducible finite Coxeter groups, has come from many directions, for example in the representation theory of these groups and the ... See full document
18
A Convexity Theorem For Symplectomorphism Groups
... the finite-dimensional maximal torus and hence can be viewed as an analog of maximal torus in the symplectomorphism group of a toric manifold ... See full document
94
The number of maximal subgroups and probabilistic generation of finite groups
... Here the symbol ⌊ x ⌋ is used to denote the defect integer part of x, that is, the largest integer number n with n ≤ x. The proof of this result depends on some results of Dalla Volta and Lucchini [6] and Dalla Volta, ... See full document
12
Prime power lie algebras and finite p groups
... of groups of order pn (p > n) whose derived subgroup has exponent dividing p (obtained by ignoring the T —action) is not, in general, the graded Lie algebra which arises from the filtration of such a ... See full document
118
On the lattice automorphisms of certain algebraic groups
... of groups of Lie type , if G is a simple group of Lie type in the list (I) over the finite field k , then G arises as the subgroup generated by the unipotent elements o f the ... See full document
148
A Discourse On Applications Of Lie Groups And Lie Algebras
... formal groups, a finite dimensional example and reviewed the deformation theory and quantum ...the Lie group associated with a finite dimensional nilpotent Lie ...the finite ... See full document
6
Financial Lie groups
... Definition (of capitalized financial event). We call capitalized finan- cial event any triple e = (t, h, c) of real numbers. We call zero financial event any event of the type (t, h, 0). Moreover we call credits ... See full document
13
Sobolev spaces on lie groups
... Example 2.2.8 of of Ch 2 demonstrates that in general these inequalities only hold for left Haar measure combined with left invariant vector fields or right Haar measure combined with ri[r] ... See full document
113
Bertrand curves of AW(k)-type in three dimensional Lie groups
... (s) are no longer linearly independent for all s ∈ I. To each Frenet curve of order 3 one can associate an orthonor- mal 3−frame {T (s), N(s), B(s)} along α such that (α 0 (s) = T (s)) called the Frenet frame and ... See full document
15
Growth of generating sets for direct powers of classical algebraic structures
... is finite, we may if necessary replace R by the quotient by the annihilator of M and so there is no loss of generality in assuming that R is finite and certainly therefore ...a maximal left ideal of ... See full document
22
Symmetric Spaces as Lie Groups and Lie Algebras
... is to disclose some relations and results related to root systems, Cartan matrices, Dynkin diagrams and finally discussing the problem of classification of Lie algebras. Many authors contributed their efforts to ... See full document
20
Differentiable semigroups are Lie groups
... THE DEVELOPMENT OF THE LIE ALGEBRA MULTIPLICATION In this section we show that if S is a local semigroup with neighborhood of homeomorphic to the Banach space X, then there is a bilinear[r] ... See full document
22
The general theory of the contractions of Lie groups, Lie algebras, and their representations
... anifolds, Lie groups, ta n g en t vector fields and th e tan g en t bundle, leading to th e exponential m apping a n d th e Lie algebra of a Lie group and th e B aker-C am pbell-H ausdorff ... See full document
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