Add induced free group map

morganthomas / purescript-group

Algebraic groups for PureScript.

Apache License 2.0

6 stars 6 forks source link

Add induced free group map #16

Closed redxaxder closed 5 years ago

redxaxder commented 5 years ago

The universal property of free groups is that any function f from the underlying set a into some group b induces a (unique) group homomorphism phi from the free group to b which satisfies

phi <<< free = f

This is a construction of the induced map.

redxaxder commented 5 years ago

This is worth including because there is currently no eliminator for FreeGroup other than pattern matching.

morganthomas commented 5 years ago

I will release this shortly. I'm needing to install purescript on my machine.

morganthomas commented 5 years ago

Ok, all published :-)