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#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

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

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,528

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

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