Replying to Avatar Phundamentals

Video 1: What Is A Unit Group?

https://cdn.satellite.earth/d81449a118de3985406aac2f6304133c775c7a5ea9bedcbbedff2b8163a0da28.mov

I discuss Unit Groups, and go through the example, using a modulus of 5, I prove the 4 Group axioms under multiplication.

Also fun that your matrix of multiplication is a symmetrical square matrix meaning the transpose is identical :) not sure the significance of it, but it's interesting

Reply to this note

Please Login to reply.

Discussion

I think it means it’s Abelian.

{1, 2, 3, 4, 5 } Mod6 example is symmetrical square but not abelian group right?

The Unit Group mod 6 is {1,5} - remember it’s the numbers relatively prime to 6

Nice, and symmetrical :)