Re: Aut H / Inn H

I find it strange enough.
Suppose sigma_x is the inner automorphism which sends y to xyx^{-1}.
I find that sigma_1 and sigma_{-1} fix the cube
and sigma_i, sigma_{-i}, sigma_j, sigma_{-j}, sigma_k, sigma_{-k} have
the same effect.

Robin Chapman wrote:
> Li Yi top-posted:
>
> > Yes, but what about Inn H?
>
> Should I reply here?
>
> So, work out which rotations come from inner automorpisms!
>
> > Robin Chapman wrote:
> >
> >> I have posted several times this way of considering Aut(H).
> >> Consider a cube. Label its faces with i, j, k, -i, -j, -k
> >> with i opposite -i etc. Then each rotation of the cube
> >> gives rise to an automorphism of H and vice versa.
>
> or here?
>
> So, work out which rotations come from inner automorpisms!
>
> --
> Robin Chapman, www.maths.ex.ac.uk/~rjc/rjc.html
> "Elegance is an algorithm"
> Iain M. Banks, _The Algebraist_

.

Relevant Pages

  • Re: Aut H / Inn H
    ... but what about Inn H? ... work out which rotations come from inner automorpisms! ... >Robin Chapman, www.maths.ex.ac.uk/~rjc/rjc.html ...
    (sci.math)
  • Re: Aut H / Inn H
    ... but what about Inn H? ... work out which rotations come from inner automorpisms! ... Robin Chapman, www.maths.ex.ac.uk/~rjc/rjc.html ...
    (sci.math)
  • Re: Aut H / Inn H
    ... sigma_1 and sigma_fix all faces of the cube. ... Each induces a nontrivial rotation of the cube, ... work out which rotations come from inner automorpisms! ... Robin Chapman, www.maths.ex.ac.uk/~rjc/rjc.html ...
    (sci.math)