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pro vyhledávání: '"D. H. McLain"'
Autor:
D. H. McLain
Publikováno v:
Glasgow Mathematical Journal. 18:51-56
Suppose that G is a finitely presented group, and that we are given a set of generators for a subgroup H of finite index in G. In this paper we describe an algorithm by which a set of defining relations may be found for H in these generators.The algo
Autor:
D. H. McLain
Publikováno v:
The Computer Journal. 19:178-181
A method is described for smooth interpolation between random data points in two or more dimensions. The method gives a smooth surface passing exactly through the given data points, and is suitable for graphical applications. It has practical advanta
Autor:
D. H. McLain, T. R. Ellis
Publikováno v:
ACM Transactions on Mathematical Software. 3:175-179
Autor:
D. H. McLain
Publikováno v:
The Computer Journal. 17:318-324
This paper describes a computer method for drawing, on an incremental plotter, a set of contours when the height is available only for some arbitrary collection of points. The method is based on a distance-weighted, least-squares approximation techni
Autor:
A. M. Duguid, D. H. McLain
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 52:391-398
Let an element of a group be called an FC element if it has only a finite number of conjugates in the group. Baer(1) and Neumann (8) have discussed groups in which every element is FC, and called them FC-groups. Both Abelian and finite groups are tri
Autor:
P. Hall, D. H. McLain
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 52:5-11
1. If P is any property of groups, then we say that a group G is ‘locally P’ if every finitely generated subgroup of G satisfies P. In this paper we shall be chiefly concerned with the case when P is the property of being nilpotent, and will exam
Autor:
D. H. McLain
Publikováno v:
Journal of the London Mathematical Society. :177-184
Autor:
D. H. McLain
Publikováno v:
Journal of the London Mathematical Society. :101-107
Autor:
D. H. McLain
Publikováno v:
Proceedings of the Glasgow Mathematical Association. 3:38-44
Following, for example, Kurošs [8], we define the (transfinite) upper central series of a group G to be the seriessuch that Zα + 1/Za is the centre of G/Zα, and if β is a limit ordinal, then If α is the least ordinal for which Zα =Zα+1=…, th
Autor:
D. H. McLain
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 53:278-285
1. Discussion of results1·1. Introduction: The classical theorem of Lagrange states that the order of a subgroup of a finite group G divides the order, (G), of G. More generally, if H and K are subgroups of G, and H ≥ K, then (G:K) = (G:H)(H:K), w