Profinite and Finite Groups Associated with Loop and Diffeomorphism Groups of Non-Archimedean Manifolds

Details Profinite and Finite Groups Associated with Loop and Diffeomorphism Groups of Non-Archimedean Manifolds Profinite and Finite Groups Associated with Loop and Diffeomorphism Groups of Non-Archimedean Manifolds

2001-01-10

arxiv.org/abs/math/0101087v1

Mathematics

Group Theory

14 pages, 0 figures

Scientific paper

$p$-Adic compactifications of geometric loop and diffeomorphism groups of
compact manifolds on finite-dimensional spaces over non-Archimedean fields are
investigated. Weakened topology is introduced. The structure of newly
constructed compact groups is studied. Representations of such profinite groups
are discused.

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