Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
You are not logged in.
#1 2011-07-25 15:16:53
- Chalisque
- Novice
Offline
What is this group?
G is generated by five elements: x1, x2, x3, x4 and y, subject to the relations
x1^3 = x2^3 = x3^3 = x4^3 = 1
y^12 = 1
(yx1^2)^4 = (yx2^2)^4 = (yx3^2)^4 = (yx4^2)^4 = 1
I'm interested because this group has distinct musical connotations.
#2 2011-07-25 19:32:12
- bob bundy
- Moderator
Offline
Re: What is this group?
hi Charlisque
Why do you think these elements make a group?
I think I've proved they don't, but I'll just check a few things:
(i) These are the only members in the group?
(ii) By group, you mean closure, inverses, identity and associativity?
Say (wnlog)
then
and say (wnlog)
then
which contradicts the closure rule.
Bob
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei