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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****Administrator**- Registered: 2010-06-20
- Posts: 8,152

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

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