From Groupprops
Revision as of 00:24, 8 May 2008 by Vipul (talk | contribs) (1 revision)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

Template:Prime-parametrized sdf


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 p-Sylow closure is the normal closure of any p-Sylow subgroup (note that since all the Sylow subgroups are conjugate, this is a unique subgroup).