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Article Dans Une Revue Advances in Mathematics Année : 2017

Reduced fusion systems over $p$-groups with abelian subgroup of index $p$: II

David A. Craven
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Bob Oliver
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Jason Semeraro
  • Fonction : Auteur

Résumé

Let $p$ be an odd prime, and let $S$ be a $p$-group with a unique elementary abelian subgroup $A$ of index $p$. We classify the simple fusion systems over all such groups $S$ in which $A$ is essential. The resulting list, which depends on the classification of finite simple groups, includes a large variety of new, exotic simple fusion systems.

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hal-03840875 , version 1 (06-11-2022)

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David A. Craven, Bob Oliver, Jason Semeraro. Reduced fusion systems over $p$-groups with abelian subgroup of index $p$: II. Advances in Mathematics, 2017. ⟨hal-03840875⟩
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