Fw: [GAP Forum] A5 acting on 52 points

[Rudolf Zlabinger]

----- Original Message ----- 
From: "Rudolf Zlabinger" <Rudolf.Zlabinger at chello.at>
To: "MCKAY john" <mckay at encs.concordia.ca>
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" <mckay at encs.concordia.ca>
> To: "Rudolf Zlabinger" <Rudolf.Zlabinger at chello.at>
> 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
>>
>