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manuscripta mathematica

, Volume 63, Issue 2, pp 233–244 | Cite as

Conjugacy classes of groups of bundle automorphisms

  • Chris Morgan
  • Renzo A. Piccinini
Article

Abstract

Let B be a space which admits a numerable covering {U α :α ∈ Λ} with the property that every principal G-bundle over B is locally trivial with respect to the covering {U α }; let G(p) be the space of all equivariant automorphisms of p. In this setting the groups G(p) can be viewed as subgroups of some common group which depends only on the covering {U α } and G. We classify these groups G(p) up to conjugacy. In certain situations this leads to a characterization of the isomorphism classes of the groupsG(p).

Keywords

Number Theory Algebraic Geometry Conjugacy Class Topological Group Isomorphism Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Chris Morgan
    • 1
  • Renzo A. Piccinini
    • 1
  1. 1.Memorial University of NewfoundlandSt.John'sCanada

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