Results 281 to 290 of about 384,528 (314)

Ordered groups and ordered geometries

Journal of Geometry, 2014
The authors study the relationship between ordered geometries and ordered groups. They show that a singular metric plane in the sense of \textit{F. Bachmann} [Ebene Spiegelungsgeometrie. Eine Vorlesung über Hjelmslev-Gruppen. Mannheim etc.: BI-Wissenschaftsverlag (1989; Zbl 0681.51001)] can be ordered if and only if the translation group admits an ...
Struve, Rolf, Struve, Horst
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Order-automorphism groups of Archimedean ordered groups

Canadian Mathematical Bulletin
AbstractThe group of order-preserving automorphisms of a finitely generated Archimedean ordered group of rank $2$ is either infinite cyclic or trivial according as the ratio in $\mathbb {R}$ of the generators of the subgroup is or is not quadratic over $\mathbb {Q}.$ In the case of an Archimedean ordered group of rank $2$ that is not finitely ...
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DIAGRAM GROUPS, BRAID GROUPS, AND ORDERABILITY

Journal of Knot Theory and Its Ramifications, 2003
We prove that all diagram groups (in the sense of Guba and Sapir) are left-orderable. The proof is in two steps: firstly, it is proved that all diagram groups inject in a certain braid group on infinitely many strings, and secondly, this group is then shown to be left-orderable.
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Ordered sets and ordered groups

1996
Abstract The fundamental notion that will inform our work is that of order: we shall be concerned with ordered sets, ordered groups, and ordered fields, and so, in due course, we shall specify how various algebraic operations interact with order structures.
H Garth Dales, W Hugh Woodin
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LOCALLY INVARIANT ORDERS ON GROUPS

International Journal of Algebra and Computation, 2006
Recent work by T. Delzant and S. Hair shows that certain groups are unique product groups. In effect, they show that the groups have a locally invariant order, an idea introduced by D. Promislow in the early eighties. Having a locally invariant order implies the group is a unique product group, and a strict left (or right) ordering on a group is a ...
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Recent Progress on Structurally Ordered Materials for Electrocatalysis

Advanced Energy Materials, 2021
Hainan Sun, Sanzhao Song, Xiaomin Xu
exaly  

Almost Ordered Groups

Proceedings of the London Mathematical Society, 1951
Britton, J. L., Shepperd, J. A. H.
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On Ordered Groups

American Journal of Mathematics, 1949
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A Group of Order 8,315,553,613,086,720,000

Bulletin of the London Mathematical Society, 1969
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Uniform Nickel Deposition into Ordered Alumina Pores by Pulsed Electrodeposition

Advanced Materials, 2000
Kornelius Nielsch, An-Ping Li
exaly