Groupprops, The Group Properties Wiki (pre-alpha)
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Inner fusion system
From Groupprops
Template:Fusion system property
Definition
The inner fusion system on a group of prime power order is the fusion system induced by the group on itself.
The fusion system induced by a finite group on its p-Sylow subgroup equals the inner fusion system on the Sylow subgroup if and only if the group is a p-nilpotent group, i.e., it possesses a normal p-complement.
