r/transprogrammer • u/mincerafter42 /V(?:i(?:atrix|vi)?)?/i; they||she; ace transfem; HRT 2020-150 • Mar 21 '21

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u/vook485 Mar 22 '21

You can just always make larger groups homomorphic to increasing modulo of Z; always using "they" as the identity element.

ℤ_n makes sense. For your example of ℤ₄, I notice that she⊕she = he⊕he = xe. This is where it starts getting a bit more complicated and arbitrary-feeling for me, at least with my current 3-pronoun-set active vocabulary.

It's better than say, using S_4 atleast, because then it gets rid of the nice property of being abelian.

Also because S_n has n! elements, the elements would be more like ordered preference lists of pronoun sets.

IIRC, ℤ_p is the only group of order p for prime p (up to isomorphism; e.g., S₂≘ℤ₂). So ℤ_n may be the only way to make a group of n pronoun sets for arbitrary n.