Abstract
Transactions of the American Mathematical Societyi, vol. iii. No. 4 (October).—G. A. Miller, on the groups of order pm which contain operators of order pm 2. It appears that if 2 and m 5, there are two and only two such groups not containing either an invariant cyclic subgroup of order pm 2 or else an abelian subgroup of type (m-2, 1). These two groups are conformal respectively with the abelian groups of type (m – 2, 2) and of type (m – 2, 1, 1).—C. A. Scott, (1) on the circuits of plane curves; (2) on the real inflexions of plane curves.—J. Hadamard, on the theory of plane elastic plates.—E. J. Wilczynski, covariants of systems of differential equations, and applications to the theory of ruled surfaces. The system considered is y″+pnyf+122′ + n′ + 12; S=o an(another similar equation with z “for y”. All covariants can be expressed in terms of three, together with invariants.—A. S. Gale, on the rank, order and class of algebraic minimum curves.—H. F. Blichfeldt, on the determination of the distance between two points in space of m dimensions. Without assuming the continuity and independence of the coordinates, but assuming that distance-relations exist, a series of axioms is laid down and possible forms deduced for the analytical expression for the distance between two points.—H. Maschke, on superosculating quadric surfaces.—A. A. Moore, a definition of abstract groupis.—A. Emcb, algebraic transformations of a complex variable realised by linkages.
Article PDF
Rights and permissions
About this article
Cite this article
Scientific Serials . Nature 67, 117 (1902). https://doi.org/10.1038/067117a0
Issue Date:
DOI: https://doi.org/10.1038/067117a0