Published January 1, 2024 | Version v1
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Fusion in supersolvable Hall subgroups

  • 1. Martin Luther Univ Halle Wittenberg, Inst Math, Halle, Germany

Description

Let H be a supersolvable Hall 7r -subgroup of a finite group G. We prove that G has a normal 7r -complement if and only if H controls G -fusion in H.

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