En route to this goal he introduced the notion of the order of an element of a group, conjugacy, the cycle decomposition of elements of permutation groups and the notions of primitive and imprimitive and proved some important theorems relating these concepts, such as if G is a subgroup of ...
Here, {{\mathcal {A}}}^\infty _{{\mathcal {J}},\{P\}}([G]) denotes the G({\mathbb {A}})-subrepresentation of smooth-automorphic forms, which are negligible along every parabolic subgroup, which is not in the associate class \{P\} of the parabolic subgroup P; and {{\math...
In this paper, we shall introduce the notion of a rough subgroup with respect to a normal subgroup of a group, and give some properties of the lower and th... N Kuroki,PP Wang - 《World Academy of Science Engineering & Technology》 被引量: 320发表: 1996年 Analytical foundations of Marx...
The map we are looking for is best understood as a fusion preserving representation of the Sylow p-subgroup of G in some compact Lie group (this ... MA Jackson 被引量: 0发表: 2005年 Constructivist and Information Processing Views of Representation in Mathematics Education. Examined is the no...
The geometry of a discrete subgroup of, for example, a connected semisimple Lie group such as SL(n, R) reflects the geometry of the ambient Lie group. In this case, the theorem follows from the well-known result that such groups have finite asymptotic dimension. The ...
We present an algorithm for computing such a model, obtaining Betti numbers, the prime numbers p involved in the invariant factors (corresponding to the torsion subgroup of the homology), the amount of invariant factors that are a power of p and a set of representative cycles of the ...
En route to this goal he introduced the notion of the order of an element of a group, conjugacy, the cycle decomposition of elements of permutation groups and the notions of primitive and imprimitive and proved some important theorems relating these concepts, such as if G is a subgroup of ...
subgroup latticesNot every element in a lattice has a complement. In this paper we introduce a notion of ranked complement, which depends on a natural number [Formula: see text], so that for every element [Formula: see text] in a lattice with finite height there exists [Formula: see text...
Precisely,\nwe say that a subset E of a Carnot group M and N is a subgroup of M, we say E\nis N-rectifiable if it is the Lipschitz image of a positive measure subset of\nN. First, we discuss the implications of N-rectifiability, where N is a Carnot\ngroup (not merely a ...
The paper will focus on the representation of this discussion in old colonial and postcolonial grammars, dictionaries and texts about the Pamean subgroup 鈥 works which mostly stem from the context of missionary writers in the first place. Specifically, it will try to illustrate the indecisiveness...