[GAP Forum] How to create partial geometries in GAP?

[Leonard Soicher]

Dear Felix, Dear GAP-Forum,

You can use the function PartialLinearSpaces in the GRAPE package to construct and
classify the partial geometries with given (pseudo-geometric) point graph. In particular,
PartialLinearSpaces( ptgraph, s, t )
returns a list of representatives of the distinct isomorphism classes of partial linear spaces
with point graph ptgraph, and parameters (s,t). More information and more options for this
function, as well as examples, can be found in the GRAPE documentation. Please note that
the problem handled by the function PartialLinearSpaces can be extremely difficult,
and a given computation may not finish in any reasonable time!

You may also be interested in my paper:
L.H. Soicher, Is there a McLaughlin geometry?, J. Algebra 300 (2006), 248-255.

Hope this is helpful,

Leonard
________________________________________
From: forum-bounces at gap-system.org <forum-bounces at gap-system.org> on behalf of Jan De Beule <jdebeule at cage.ugent.be>
Sent: 16 January 2015 09:03
To: Felix Goldberg
Cc: forum at gap-system.org
Subject: Re: [GAP Forum] How to create partial geometries in GAP?

Dear Felix,

This depends very much on how you want to represent the partial geometry you are interested in. There has been work done on partial geometries using the packages GRAPE and DESIGN. You might also be interested in models of partial geometries that are constructed in projective spaces. Therefore the package fining could be useful: http://cage.ugent.be/fining

Best regards,

Jan De Beule

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Jan De Beule                                          jdebeule at cage.ugent.be
Postdoctoraal onderzoeker FWO
Vakgroep Wiskunde
Krijgslaan 281, S22
B 9000 Gent (Belgium)                         http://cage.ugent.be/~jdebeule
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Op 16-jan.-2015, om 00:55 heeft Felix Goldberg <felix.goldberg at gmail.com> het volgende geschreven:

> Hello,
>
> I would like to work with partial geometries. What is the easiest way to
> construct some of them in GAP? Apologies for the extra-noobish question.
>
> Felix
>
> --
> ----------------------------------
> Felix Goldberg, Ph. D.
> www.technion.ac.il/~felixg <http://www.technion.ac.il/%7Efelixg>
> _______________________________________________
> Forum mailing list
> Forum at mail.gap-system.org
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