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Recommended Citation Sibley TQ. 1987. Sylowlike theorems in geometry and algebra. Journal of Geometry 30(1): 111. SYLOWLIKE THEOREMS IN GEOMETRY AND ALGEBFA
, 1987
"... The notion of congruence provides a means to extend the Sylow theorems from group theory to a class of geometric structures called congruence spaces and to their corresponding loops. The extension of these results depends on the existence of a group acting transitively on the congruence space and pr ..."
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and preserving congruence. A partial ordering on the congruence spac es s uggests a means to form all of these spaces from groups. In ( R,+} ab=<cd, iff lc+(d}l. we call segments ab and cd congruent, written labl = lcdl or, more explicitly, la+(b) I = This geometrical notion can apply to groups and other
Vol. 101, No. 1 DUKE MATHEMATICAL JOURNAL © 2000 TANGENT VECTORS TO HECKE CURVES ON THE MODULI SPACE OF RANK 2 BUNDLES OVER AN ALGEBRAIC CURVE
"... The moduli space of semistable bundles of a fixed determinant over an algebraic curve has been studied by many authors from various points of view. Especially wellunderstood is the case of rank 2 bundles. In this case, quite a detailed study of the geometry of the moduli space has been done in [Be], ..."
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The moduli space of semistable bundles of a fixed determinant over an algebraic curve has been studied by many authors from various points of view. Especially wellunderstood is the case of rank 2 bundles. In this case, quite a detailed study of the geometry of the moduli space has been done in [Be
Using Cabri3D Diagrams For Teaching Geometry
"... Cabri3D is a potentially very useful INTRODUCTION Threedimensional Euclidean geometry is not a popular subject nowadays. One of the main reasons for this is that diagrams representing threedimensional geometric objects are difficult to interpret. "The survey by the French Ministry of Educati ..."
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abilities and that they apply visual reasoning when they have to" (Hershkowitz, Parzysz, and Van Dormolen, 1996, p 166). This assumption is not only naïve but also dangerous, especially in solid geometry, where it is quite easy to pick vague and distorted ideas about geometric objects and relations
Journal de Théorie des Nombres
"... Universal covering spaces and fundamental groups in algebraic geometry as schemes par Ravi Vakil et Kirsten Wickelgren Résumé. En topologie, les notions du groupe fondamental et du revêtement universel sont lieés l’une à l’autre. En suivant l’exemple topologique, on construit une schéma en groupes f ..."
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Universal covering spaces and fundamental groups in algebraic geometry as schemes par Ravi Vakil et Kirsten Wickelgren Résumé. En topologie, les notions du groupe fondamental et du revêtement universel sont lieés l’une à l’autre. En suivant l’exemple topologique, on construit une schéma en groupes
JOURNAL OF COMPUTATIONAL PHYSICS 133, 289–309 (1997) ARTICLE NO. CP975656 An Analysis of Finite Volume, Finite Element, and Finite Difference Methods Using Some Concepts from Algebraic Topology
, 1996
"... In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization strategies adopted by the two methods, in the light of a geometric interpretation proposed for the role played by the weighti ..."
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In this paper we apply the ideas of algebraic topology to the analysis of the finite volume and finite element methods, illuminating the similarity between the discretization strategies adopted by the two methods, in the light of a geometric interpretation proposed for the role played
Article Submitted to Journal of Symbolic Computation Semiimplicit representations of surfaces in
"... In this paper we introduce an intermediate representation of surfaces that we call semiimplicit. We give a general definition in the language of projective complex algebraic geometry, and we begin its systematic study with an effective view point. Our last section will apply this representation t ..."
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In this paper we introduce an intermediate representation of surfaces that we call semiimplicit. We give a general definition in the language of projective complex algebraic geometry, and we begin its systematic study with an effective view point. Our last section will apply this representation
J. reine angew. Math. 391 (1988), 85 99 Journal fur die reine und angewandte Mathematik 0 Walter
"... This paper continues the program begun by us in [8j2), [9] (see also [15], [18]) in which the authors have begun to exploit in the modular representation theory of semisimple algebraic groups some of the powerful techniques of the theory of derived categories. As noted in the above references, the i ..."
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, the inspiration for this work comes both from geometry, in the form of the classic algebraic work of BernsteinBeilinsonDeligne [l] on singular spaces and perverse sheaves, and from the tilting theory of finite dimensional algebras [2], [3], [13], [14]. The present paper broadens and extends this connection
International Journal of Mechanical Engineering Education 38/2 Learning
"... fi nite element methods by building applications ..."
Journal of Heat Transfer Performance Analysis and Optimization of Annular Fin With a Step Change in Thickness
"... The temperature distribution in a concentric annular fin with a step change in thickness (AFST) Introduction Concentric annular or radial fins are employed to improve the rate of heat transfer from the external surface of a circular tube. Such fins are commonly used in finned tube crossflow hea ..."
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multipliers. Elimination of the multiplier gives the following expressions: The above equation is a nonhomogeneous nonlinear algebraic equation. The optimum fin dimensions can be obtained either by maximizing heat transfer rate for a given fin volume or minimizing fin volume for a given heat transfer duty
A comparison of traditional homework to computersupported homework
 Journal of Research on Technology in Education
, 2009
"... Abstract This study compared learning for fifth grade students in two math homework conditions. The paperandpencil condition represented traditional homework, with review of problems in class the following day. The Webbased homework condition provided immediate feedback in the form of hints on d ..."
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problem set included problems for which students had to demonstrate understanding of numbers, ways of representing numbers, and relationships among numbers and number systems. The Mixed problem set included problems in the algebra, geometry, data analysis, and probability domains. Students had
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