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    MathVideos.org
    • Seminars
      • Algebra
        • Associative Rings
          • Ariki-Koike Algebras
          • Cluster Algebras
          • Group Rings
          • Hecke Algebras
          • KLR Algebras
          • Schur Algebras
        • Commutative Algebra
        • Fusion Systems
        • Group Theory
          • Abelian Groups
          • Algebraic Groups
          • Combinatorial Group Theory
          • Computational Group Theory
          • Finite Groups
          • Geometric Group Theory
          • Infinite Groups
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          • Permutation Groups
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          • Lie Algebras
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          • Representations of Lie Algebras
          • Representations of Symmetric Groups
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      • Analysis
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        • Functional Analysis
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      MathVideos.org
      • Seminars
        • Algebra
          • Associative Rings
            • Ariki-Koike Algebras
            • Cluster Algebras
            • Group Rings
            • Hecke Algebras
            • KLR Algebras
            • Schur Algebras
          • Commutative Algebra
          • Fusion Systems
          • Group Theory
            • Abelian Groups
            • Algebraic Groups
            • Combinatorial Group Theory
            • Computational Group Theory
            • Finite Groups
            • Geometric Group Theory
            • Infinite Groups
            • Lie Groups
            • Permutation Groups
          • Lie Theory
            • Algebraic Groups
            • Lie Algebras
            • Lie Groups
            • p-Adic Groups
            • Representations of Algebraic Groups
          • Non-Associative Algebras
            • Jordan and Axial Algebras
            • Lie Algebras
            • Other Non-Associative Rings
          • Representation Theory
            • Geometric Representation Theory
            • Representations of Algebraic Groups
            • Representations of Finite Groups
            • Representations of Lie Algebras
            • Representations of Symmetric Groups
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      Liudmila Sabinina: Burnside problems in the theory of loops

      18th June, 2020
      Watch LaterRemove Cinema Mode

      We prove that for positive integers m ≥ 1, n ≥ 1 and a prime number p ≠ 2,3 there are finitely many finite m-generated Moufang loops of exponent pn. For groups this result was proved by Efim Zelmanov.

      My talk is based on joint research with Alexander Grishkov and Efim Zelmanov.

      This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.

      Algebra Burnside problem Semigroup theory

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