this post was submitted on 20 May 2025
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[โ€“] TheTechnician27@lemmy.world 4 points 2 months ago* (last edited 2 months ago) (1 children)

The galaxy-brained group known as "Z~12~ + 1". "What if we did modular arithmetic but one-indexed."

Edit: Actually, wait, it's worse: zero-indexing but we represent the zero element in Z~n~ as 'n'. Kill it with fire.

[โ€“] davidagain@lemmy.world 4 points 2 months ago

Is not 12+12Z the exact same coset as 0+12Z? Is 12 not the identity element? Must group theory follow computer science conventions?