> so, "Permutation" objects aren't really meant to be a group: 
>

I think this is the salient point.   Is there any documentation that 
already has matrix(Permutation(...)) ? 

For several more points of view (some articulated by people on the current 
thread), see also the (long) discussion that the ticket you mention led to 
on this forum, seven years 
ago: https://groups.google.com/forum/#!topic/sage-devel/tAAb42Edh9o

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