... Ay de vendre et débiter aucunes drogues médicinales simples et composées. Book.
0000 - Gale Group | The Making of Modern World
... groups so determined appear two infinite systems of simple groups, the alternating groups of degree greater than ... It is perhaps to be expected that every simple group of composite order, or at least every simple group of even order, can be generated by ... of its validity. Accordingly we examined the known simple groups whose orders are less than one million ... the multiply transitive groups of Mathieu, every known simple group of composite order belongs to one or ... classes eight are represented among the 53 known simple groups of order less than one million,4 ...
Tópico(s): Advanced Topics in Algebra
1930 - Princeton University | Annals of Mathematics
Attributed to Ernst Ludwig Carl.--NUC pre-1956. Master microform held by: ResP. Book.
0000 - Gale Group | The Making of Modern World
... sets. Post [51 calls a recursively enumerable set simple if its complement is infinite but does not ... Smullyan calls a recursively enumerable set W effectively simple if its complement is infinite, and if there ... the cardinality of We.2 Clearly, an effectively simple set is simple. The simple set S constructed by Post in [51 is effectively simple. This latter is no accident. In fact it ... direct attack on the problem of constructing a simple set must result in an effectively simple set. Our purpose here is to obtain a ...
Tópico(s): Logic, programming, and type systems
1964 - American Mathematical Society | Proceedings of the American Mathematical Society
Barthez de Marmorières, Guillaume,
Book.
0000 - Gale Group | The Making of Modern World
Daniel Gorenstein, Koichiro Harada,
In §1, we describe the presently known finite simple groups of 2-ranks 3 and 4 and ... we illustrate these techniques concretely by classifying all simple groups whose Sylow 2-subgroups are isomorphic to ... of £2(5) for some odd q.1. Simple groups of low 2-rank.The 2-rank ... quaternion Sylow 2-subgroups and so is not simple (assuming it is of composite order) by Burnside' ... various previously established classification theorems, that the only simple groups of 2-rank 2 are the groups ... and M n .Work on the determination of simple groups of 2-rank 3 and 4 has ...
Tópico(s): graph theory and CDMA systems
1971 - Nature Portfolio | Bulletin of the American Mathematical Society
Caption title. Book.
0000 - Gale Group | The Making of Modern World
Cartesian Simple Natures BRIAN E. O'NEIL SIMPLE NATURESDOMINATEDescartes' Regulae ad Directionem Ingenii. They are woven through every aspect of the work and are clearly the fundamental stuff in whatever is ... are they? This is not easy to answer. Simple natures--their essence, their classification, their role--is ... or degeneracy, of the Cogito, he still has simple natures to puzzle over. Nor are these simples merely an early or a narrow problem; they ... is, of course, in the Regulae alone that simple natures are discussed at length. Even in that ...
Tópico(s): History and Theory of Mathematics
1972 - Johns Hopkins University Press | Journal of the history of philosophy
Book.
0000 - Gale Group | The Making of Modern World
1·1. A group is called characteristically simple if it has no proper non-trivial subgroups which are left invariant by all of its automorphisms. One familiar class of characteristically simple groups consists of all direct powers of simple groups: this contains all finite characteristically simple groups, and, more generally, all characteristically simple groups having minimal normal subgroups. However not all characteristically simple groups lie in this class because, for instance, additive groups of fields are characteristically simple. Our object here is to construct finitely generated ...
Tópico(s): Advanced Algebra and Geometry
1976 - Cambridge University Press | Mathematical Proceedings of the Cambridge Philosophical Society
Running title: Arithmeticall questions touching annuities, leases, &c. Dedication signed: Richard Witt. "Examined also and corrected at the presse by the ...
0000 - Gale Group | The Making of Modern World
... C*-algebra crossed product, suitably defined, of a simple C*-algebra with unit by a group of outer automorphisms should be simple.For a finite group (and an arbitrary simple ring with unit) this was proved by Azumaya ... for any group the algebraic crossed product is simple (see also 1.1 of [16]).If the ... crossed product does not in general yield a simple C*-algebra (see 5.2 of [25]) 9 ... automorphisms countable) then the reduced crossed product is simple.Recently, Cuntz in [6], and Bratteli in [3] gave examples of simple crossed products of simple C*-algebras by groups ...
Tópico(s): Spectral Theory in Mathematical Physics
1980 - Kyoto University | Publications of the Research Institute for Mathematical Sciences
Cérutti, Joseph-Antoine-Joachim,
"Lettre de M. Cerutti à Madame ***"--P. 115-127. Also filmed as part of item no. 13655.6, in Finances, 1788-1791, as v.3, no. 4. Book.
0000 - Gale Group | The Making of Modern World
1. A group G is called characteristically simple if it has no proper non-trivial subgroups which are invariant under all automorphisms of G . It is known that if G is characteristically simple then each countable subgroup lies in a countable characteristically simple subgroup of G . A similar assertion holds for simple groups. These results were proved by Philip Hall ... further proofs appear in (4) and (6). For simple groups there is a well known and elementary ... subgroup of a group G lies in a simple subgroup, then G is simple. These considerations prompt ...
Tópico(s): Finite Group Theory Research
1979 - Cambridge University Press | Mathematical Proceedings of the Cambridge Philosophical Society
Springer Link
Book.
0000 - Gale Group | The Making of Modern World
... prime of Z.Define A to be Q-simple if QE(A) is a simple algebra, and p-simple for a prime p of Z if /?£(/4) = £( ... or if E(A)/pE(A) is a simple algebra.In contrast to finite rank torsion-free ... THEOREM I. A reduced group A is p-simple for each prime p of Z if and only ifand p-simple for each prime p ofZ, and ifp is ... AjjpAj. THEOREM II. A group A is Q-simple and p-simple for each prime p of Z if and only ifwhere each B { is strongly indecomposable, Q-simple and p-simple for each prime p of Z and B { ...
Tópico(s): Rings, Modules, and Algebras
1982 - Rocky Mountain Mathematics Consortium | Rocky Mountain Journal of Mathematics
Benjamin, Templar, M. L'Étang, E. A. De,
Book.
0000 - Gale Group | MOMW2
... cantilever retaining wall could be predicted using a simple velocity field. For a wall with an anchor or support near the top the simple velocity field cannot in general apply. The deformations ... could be divided into a number of relatively simple zones, related to the deformation of the wall, ... soil is deforming without change of volume the simple velocity field could apply whatever the mode of ... in soft clay and those predicted by the simple velocity field from the deformations of the wall. ... soutènement cantilever peuvent être prévues en employant un simple champ de vitesse. En général un simple champ ...
Tópico(s): Geotechnical Engineering and Analysis
1983 - ICE Publishing | Géotechnique
Caption title. Signed at end: Mongez. Book.
0000 - Gale Group | The Making of Modern World
... have analogues in Mod- R . Unlike the purely simple K [ξ]-modules, which are easily described, purely simple R -modules are quite complex. If M is a purely simple R -module of finite rank n then any ... Every torsion-free quotient of M is purely simple. 3. 3.|An ascending union of purely simple R -modules of increasing rank is not purely simple. It is also shown that a large class ... can occur as the quotient of a purely simple system of rank n, n any positive integer. Moreover, starting from a purely simple system another purely simple module M' of the ...
Tópico(s): Rings, Modules, and Algebras
1983 - Elsevier BV | Journal of Pure and Applied Algebra