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Title of Journal: Appl Categor Struct

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Abbravation: Applied Categorical Structures

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Kluwer Academic Publishers

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DOI

10.1016/0022-1902(77)80419-3

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1572-9095

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Normal Subgroups of BSubscriptEmphasis Type="It

Authors: Manfred Droste W Charles Holland
Publish Date: 2007/04/17
Volume: 15, Issue: 1-2, Pages: 153-162
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Abstract

AutΩ denotes the group of all order preserving permutations of the totally ordered set Ω and if e ≤ u ∈ AutΩ then B u AutΩ denotes the subgroup of all those permutations bounded pointwise by a power of u It is known that if AutΩ is highly transitive then AutΩ has just five normal subgroups We show that if AutΩ is highly transitive and u has just one interval of support then B u AutΩ has 22aleph 0 normal subgroups and there is a certain ideal cal Z of the lattice of subsets of Open image in new window mathbbZ the power set of the integers such that the lattice of normal subgroups of every such AutΩ is isomorphic to cal Z

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Other Papers In This Journal:
  1. On the Notion of a Semi-Abelian Category in the Sense of Palamodov
  2. Complexity Analysis via Approach Spaces
  3. Axioms for Sequential Convergence
  4. A Categorical Foundation for Bayesian Probability
  5. Quasi Left Factorization Structures as Presheaves
  6. Absolute Lax 2-categories
  7. Auslander–Buchweitz Context and Co- t -structures
  8. Homotopy Gerstenhaber Structures and Vertex Algebras
  9. Perfect MV -algebras and their Logic
  10. Insertion of Continuous Real Functions on Spaces, Bispaces, Ordered Spaces and Pointfree Spaces—A Common Root
  11. A Generalization of De Vries Duality Theorem
  12. Bounded Equivalence of Hull Classes in Archimedean Lattice-Ordered Groups with Unit
  13. Lawvere Completeness in Topology
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