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

S. Ludkovsky; B. Diarra

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

Group Theory 2007-05-23 v1

Authors: S. Ludkovsky , B. Diarra

Abstract

$p$ -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.

Keywords

p-adic compactification loop group diffeomorphism group non-archimedean manifold profinite group weakened topology

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@article{arxiv.math/0101087,
  title  = {Profinite and Finite Groups Associated with Loop and Diffeomorphism Groups of Non-Archimedean Manifolds},
  author = {S. Ludkovsky and B. Diarra},
  journal= {arXiv preprint arXiv:math/0101087},
  year   = {2007}
}

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14 pages, 0 figures

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

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