Sylow-closure
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Template:Prime-parametrized sdf
Definition
Symbol-free definition
A subgroup of a group is termed a Sylow-closure if it occurs as the normal closure of a Sylow subgroup.
In the prime parametrized sense, the -Sylow closure is the normal closure of any
-Sylow subgroup (note that since all the Sylow subgroups are conjugate, this is a unique subgroup).