Video 1: What Is A Unit Group?
I discuss Unit Groups, and go through the example, using a modulus of 5, I prove the 4 Group axioms under multiplication.
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Not hearing any audio. Trying to check if it's on my end.
It’s your end.
You're right. I put the link in my browser and t works. I'll check it out tonight. Finally time for class! I just got a digital copy of 'A Book of Abstract Algebra, Second Edition'. Gonna take an hour to do some math this weekend.
Thank you! 🙏
Who is the author?
Charles C Pinter. It was linked in one of the podcast episode descriptions.
Great book! I read it cover to cover and did many of the exercises
Fun da Mental
Communicative fun in mod 5! I liked it at the end when you point out 12 is 2 :)
12 mod 5 is 2
6 mod 5 is 1
2*2=4
1*4=4
As far as rabbits holes go - THIS IS A FUN ONE
Thanks for watching Gig
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
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 :)