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

Conjugacy classes of groups of bundle automorphisms

  • Chris Morgan
  • Renzo A. Piccinini


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).


Number Theory Algebraic Geometry Conjugacy Class Topological Group Isomorphism Class 
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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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