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Note on mod $$p$$ decompositions of gauge groups. (English) Zbl 1190.55007
Summary: We give fibrewise mod $$p$$ decompositions of the adjoint bundle of a principal $$G$$-bundle $$P$$ when the topological group $$G$$ has mod $$p$$ decompositions by automorphisms as in [B. Harris, Ann. Math. (2) 74, 407–413 (1961; Zbl 0118.18501)], which imply mod $$p$$ decompositions of the gauge group of $$P$$.

##### MSC:
 55R70 Fibrewise topology 57S05 Topological properties of groups of homeomorphisms or diffeomorphisms 55R10 Fiber bundles in algebraic topology
##### Keywords:
gauge group; mod $$p$$ decomposition
Full Text:
##### References:
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