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Bounds for the orders of the finite subgroups of G(k)

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arxiv 1011.0346 v1 pith:6D2L7TTA submitted 2010-11-01 math.AG

Jean-Pierre Serre This is my paper · ORCID
classification math.AG
keywords boundsfiniteorderssubgroupsalgebraiccommutativeconnectedcyclotomic
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If k is a commutative field and G a reductive (connected) algebraic group over k, we give bounds for the orders of the finite subgroups of G(k); these bounds depends on the type of G and on the Galois groups of the cyclotomic extensions of k.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Root stack valuative criterion for good moduli spaces

    math.AG 2025-07 accept novelty 7.0 of 10

    The authors prove a root stack valuative criterion for good moduli spaces and reductive gerbes, enabling root-extension of generic points and several arithmetic and moduli applications.

  2. Large and iterated finite group actions on manifolds admitting non-zero degree maps to nilmanifolds

    math.GT 2025-06 conditional novelty 7.0 of 10

    Manifolds with non-zero degree maps to nilmanifolds have controlled finite group actions, and a new iterated symmetry invariant forces rational cohomology rigidity over two-step nilmanifolds.

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