Generating automorphism groups of chains
By Manfred Droste, W. Charles Holland. 2005
53 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/2969089f0bf040d8861c93d64a938d2732a2131c
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
In Computational Theory and Mathematics
- Christian Rosendal
- George M. Bergman
- Alexander S. Kechris
- Andrew S. Marks
- A. Furman
- Inessa Epstein
- Yves Cornulier
- Miklós Abért
In Geometry and Topology
- Christian Rosendal
- George M. Bergman
- Alexander S. Kechris
- A. Furman
- Todor Tsankov
- Lewis Bowen
- Inessa Epstein
- Greg Hjorth
Citations in the corpus
- Turbulence, amalgamation, and generic automorphisms of homogeneous structures (2004, background): “We will now investigate a strengthening of uncountable cofinality that concerns the finite generation of permutation groups, a subject recently originated in Bergman [7] and also studied in Droste-G¨ obel [12], Droste-Holland [ 13 ].”
- Automatic continuity of homomorphisms and fixed points on metric compacta (2006, unknown): “It also holds for Aut(Q, <) and Homeo(R) as proved by Droste and Holland [3].”
- Generating Infinite Symmetric Groups (2004, background): “Droste and Holland [ 10 ] obtain the same conclusions for the automorphism group of any doubly homogeneous totally ordered set, and Tolstykh [23, 24] proves (4), and (insofar as it was not already known) (3), for the automorphism groups of infinite-dimensional vector spaces and various sorts of rela”
- A topological version of the Bergman property (2005, background): “One can pick some of these results from [9, 11, 12, 21, 26, 34, 35].”