[GAP Forum] A5 acting on 52 points

[Rudolf Zlabinger]

I am so sorry, this message was erroneously forwarded twice due to technical
problems, best regards, Rudolf Zlabinger


----- Original Message ----- 
From: "Rudolf Zlabinger" <Rudolf.Zlabinger at chello.at>
To: "GAP Forum" <forum at gap-system.org>
Sent: Friday, August 18, 2006 7:24 AM
Subject: Fw: [GAP Forum] A5 acting on 52 points


>
> ----- 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
>>>
>>
>


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