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

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

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,872

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

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