[GAP Forum] Mathieu group M11

[Alexander Konovalov]

Or you could use GAP help system: http://www.gap-system.org/Manuals/doc/ref/chap2.html

Just enter

	?Mathieu

in the GAP prompt and it will display the manual entry for MathieuGroup in the GAP
session.

gap> ?Mathieu
Help: Showing `Reference: MathieuGroup'
  50.1-11 MathieuGroup
  
  ‣ MathieuGroup( [filt, ]degree ) ──────────────────── function
  
  constructs  the  Mathieu group of degree degree in the category given by the
  filter filt, where degree must be in the set { 9, 10, 11, 12, 21, 22, 23, 24
  }. If filt is not given it defaults to IsPermGroup (43.1-1).
  
  ───────────────────  Example  ────────────────────
    gap> MathieuGroup( 11 );
    Group([ (1,2,3,4,5,6,7,8,9,10,11), (3,7,11,8)(4,10,5,6) ])
  ─────────────────────────────────────────────
 
You can also use SetHelpViewer function to change the default viewer - for example,
on my computer I open GAP help pages with the browser. See SetHelpViewer documentation
at http://www.gap-system.org/Manuals/doc/ref/chap2.html#X863FF9087EDA8DF9 and also
"The gap.ini and gaprc files" for the documentation on customising GAP to use this
setting by default http://www.gap-system.org/Manuals/doc/ref/chap3.html#X7FD66F977A3B02DF 

You can also type ??Mathieu - the difference is that with one `?` it looks for all
help entries that *start* with "Mathieu", while with `??` it looks for all entries 
which contain the substring "Mathieu", so in this case you will be also pointed to
an entry from the documentation for the Orb package:

gap> ??Mathieu
Help: several entries match this topic - type ?2 to get match [2]

[1] Reference: MathieuGroup
[2] orb (not loaded): The Mathieu group M_{11} acting in dimension 24
gap> ?2

Using ? and ?? is more reliable: it will search not only in the GAP manuals, 
but also in the manuals of all GAP packages available in your GAP installation. 
It guarantees to return results from the documentation precisely for the version 
of GAP you're using. Therefore, I'm encouraging everyone to use this feature of 
GAP and not just a search engine (which may return results in different order
dependently on your location; may point you to GAP documentation for older
versions of GAP still hosted elsewhere; may not point to the relevant pieces
of functionality in GAP packages, etc.).

Hope this helps
Alexander


 




> On 1 Aug 2015, at 14:43, Gordon Royle <gordon.royle at uwa.edu.au> wrote:
> 
> Yes, you can type "GAP Mathieu 11" into Google and the answer will appear with a reference to "Section 50 Group Libraries" of the GAP manual.
> 
> Or you could cut out Google, and just direct go to the index of the GAP manual and search for "Mathieu" or "MathieuGroup" and the same answer will appear.
> 
> Or you could go to Wikipedia and search for "Mathieu Group" and get the same information.
> 
> 
>> On 1 Aug 2015, at 9:23 pm, abdulhakeem alayiwola <lovepgroups at gmail.com> wrote:
>> 
>> Dear forum,
>> Can someone help with the construction or presentation of  Mathieu group
>> M11 on GAP.
>> Best regards.
>> _______________________________________________
>> Forum mailing list
>> Forum at mail.gap-system.org
>> http://mail.gap-system.org/mailman/listinfo/forum
> 
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--
Dr. Alexander Konovalov               School of Computer Science
& Centre for Interdisciplinary Research in Computational Algebra
University of St Andrews                 Tel +44/0 (1334) 461633
http://blogs.cs.st-andrews.ac.uk/alexk/  Fax +44/0 (1334) 463278
The University of St Andrews is a charity registered in Scotland:No.SC013532