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Conjugacy classes of groups of bundle automorphisms. (English) Zbl 0684.55016

Let p: \(E\to B\) be a principal G-bundle, and denote by G(p) the group of all equivariant automorphisms of (E,p,B) over B. Assuming that B has a numerable cover \({\mathcal U}=\{U_{\alpha}\), \(\alpha\in \Lambda \}\), with respect to which every principal G-bundle over B is locally trivial, they show that G(p) is a subgroup of a larger group that depends only upon \({\mathcal U}\). Moreover, they classify these subgroups up to conjugacy.
Reviewer: S.Y.Husseini

MSC:

55R10 Fiber bundles in algebraic topology
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References:

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