Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #1 2011-07-24 17:16:53

Chalisque
Member
Registered: 2011-07-15
Posts: 6

### 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.

chalisque.com/dr

Offline

## #2 2011-07-24 21:32:12

bob bundy
Registered: 2010-06-20
Posts: 8,399

### 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

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

Offline