S. V. Ludkovsky, B. Diarra, "Profinite and finite groups associated with loop and diffeomorphism groups of non-Archimedean manifolds", International Journal of Mathematics and Mathematical Sciences, vol. 2003, Article ID 395968, 16 pages, 2003. https://doi.org/10.1155/S0161171203011499
Profinite and finite groups associated with loop and diffeomorphism groups of non-Archimedean manifolds
We investigate -adic completions of clopen (i.e., closed and open at the same time) subgroups of loop groups and diffeomorphism groups of compact manifolds over non-Archimedean fields. We outline two different compactifications of loop groups and one compactification of diffeomorphism groups, describe associated finite groups in projective limits, and discuss relations with the representation theory.
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