Definition of socles:
(n) :
(architecture) A low plinth or pedestal used to display a statue or other artwork.
(n) :
(architecture) A plain face or plinth at the foot of a wall.
(n) :
(algebra, ring theory) The sum of the minimal normal submodules of a given R-module of a given ring R.
(n) :
(group theory) The subgroup generated by the minimal normal subgroups of a given group.