Thread Rating:
  • 0 Vote(s) - 0 Average
  • 1
  • 2
  • 3
  • 4
  • 5
Tommy groups
Im very intrested in abelian gaussian Groups. I call them Tommy groups.

Beware this is not to be confused with the usual gaussian groups.
The terminology is made Up.

Basically its just the gaussian integers mod p for some prime p that satisfy Some conditions.

Or equivalent the group Z_p[i] or the ring Z mod p extended with i.

To avoid zero-divisors and make i meaningful we take p such that

X^2 = -1 mod p has no solution.
Or equivalent p =/= a^2 + b^2.

Additional conditions are considered.
And are part of the debate/theory.
Lots of number theory,ring- and group theory come together here.

X^i is a subject.
This has meaning if x^2 = -1 mod (p-1) has a solution.

Variants of fermat little and flt are also a topic.

Imho this kind of math is left too soon.
Some people say this is below their or my level , but i disagree.

Just like tetration this deserves a second look.

Thought you might wanted to know.



Something to think about.



Possibly Related Threads...
Thread Author Replies Views Last Post
  Is it Tommy somewhere grassshopper 5 1,241 09/27/2021, 09:18 PM
Last Post: grassshopper

Users browsing this thread: 1 Guest(s)