But he's not here right now, so I'm giving these badboys a toss!
The municipal corporations of that universal kingdom are not morally at liberty at their pleasure, and on their speculations of a contingent improvement, wholly to separate and tear asunder the bands of their subordinate community, and to dissolve it into an unsocial, uncivil, unconnected chaos of elementary principles.
Now, certainly, in a general view, the purpose of the Platonic soldier was the same, but with this important difference—that his fighting condition was not needed on one or two days consecutively, but on many days, and not against a day punctually assignable, but against a season or period perhaps of months, quite indeterminate as to its beginning, end, or duration.
So finite groups often appear as subgroups of permutation groups or linear groups. The “geometry” of a group (as permutation group or linear group, or as a group of Lie type etc.) should be used in order to describe basic invariants.
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