I am so sorry, this message was erroneously forwarded twice due to technical
problems, best regards, Rudolf Zlabinger
----- Original Message -----
From: "Rudolf Zlabinger" <[EMAIL PROTECTED]>
To: "GAP Forum" <[EMAIL PROTECTED]>
Sent: Friday, August 18, 2006 7:24 AM
Subject: Fw: [GAP Forum] A5 acting on 52 points
----- Original Message -----
From: "Rudolf Zlabinger" <[EMAIL PROTECTED]>
To: "MCKAY john" <[EMAIL PROTECTED]>
Sent: Friday, August 18, 2006 7:21 AM
Subject: Re: [GAP Forum] A5 acting on 52 points
Dear Professor McKay;
as you claim for a justification for my way of work: I need the A5 on 62
points for technical purposes, as I am interested on multipurpose,
multiposition parts in robotics. In addition to, i needed it in
preparation
to work through a paper "The p-adic Icosahedron" by Gunther Cornelissen
and
Fumiharu Kato, as attached to this message.
Thank you again for answering me, all the best, Rudolf Zlabinger
----- Original Message -----
From: "MCKAY john" <[EMAIL PROTECTED]>
To: "Rudolf Zlabinger" <[EMAIL PROTECTED]>
Sent: Friday, August 11, 2006 10:25 AM
Subject: Re: [GAP Forum] A5 acting on 52 points
Why can ytou not make the acquaintance of someone who knows
a little about permutatioin groups and has the time to talk with you.
It is not that what you do is wrong - it is that it is essentially
simple stuff and you ought to be able to learn it yourself.
Try readng some introductory books.
Why down the 31 axes and look at the action of generators on them.
Best,
John McKay
On Thu, 10 Aug 2006, Rudolf Zlabinger wrote:
I dealt with group A5 and the icosahedron. I was eager to know, how to
let act A5 on the 62 endpoints of the 31 axes of the geometric model of
the icosahedron group. As it was to expensive to simply use
IsomorphicSubgroups to Symmetric Group 62 I developed a way using the
action homomorphisms on the 2, 3 and 5 cycles cosets, as outlined in
the
attachment.
I would like to know, whether there is a simpler way to do it, as I
did,
shown by the attachment containing a GAP session, only using
permutation
groups. If there is an error in my procedure, please give also
feedback.
Best regards, Rudolf Zlabinger
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