Hi again,

Based on the discussion I can suggest the following concrete changes:
- for now, use both Perm and Permutation as names for the class defining a 
permutation
- similarly, use both PermGroup and PermutationGroup as names for the class 
defining a permutation group
- remove the checks from Perm, and make a *function* PermS (the name is 
deliberately chosen to be as close as Perm) that performs the checks and 
then constructs a permutation object using Perm (the name comes from 
Permutation Safe).

What do you guys think?

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