From:

~~~ Subject:

One additional remark:

>Well, if P is a rotation operator, you could perform a rotation

>two ways. I guess one is pre-multiplication and one is

>post-multiplication.1) For i = 1 to 24 B(i) = A(P(i))

I would write this as B = P A, and say that A is premultiplied by P,

or equivalently that P is postmultiplied by A.

There is quite a bit of confusion about this. When permutation

groups are considered; even text-books do not agree. When A and P

are permutations you can find both that P A means: apply P first, A next,

but also: apply A first, P next. (The first meaning comes from the pure

group theorists, the second meaning more from the algebra inclined.)

Sorry to confuse the issue, but when I read such texts I have always to

think hard to get at the intended meaning. I think the functional

notation is much clearer and leads to less confusion.

Of course, doing notations for cube rotations the group theorists

notation is applied, but when doing abstract operations...