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Finite abelian subgroups of algebraic groups

math.AG · 2026-08-03 · accept · novelty 7.0

For every affine algebraic group G over an algebraically closed field, every finite abelian subgroup A with |A| not divisible by the characteristic lies in some maximal torus up to index dividing the Grothendieck torsion index t(G).

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  • Finite abelian subgroups of algebraic groups math.AG · 2026-08-03 · accept · none · ref 6

    For every affine algebraic group G over an algebraically closed field, every finite abelian subgroup A with |A| not divisible by the characteristic lies in some maximal torus up to index dividing the Grothendieck torsion index t(G).